How do I change rear axle bearing on a 1994 ford mustang

Remove the axles, bearings have to be pressed off and back on with the new. Have someone with a press do it for you.

If you need further help, I’m available over the phone at https://www.6ya.com/expert/michael_2496c4f07ad24453

Its probably the left side, not only because you replaced the right side, but because it changes on right turns.
When you go into a right turn, the bearings on the left side are under more pressure and torque.
The front hub bearing goes bad more often than the axle bearing, so I would expect it to be the left front.

This is caused by a leaking rear axle seal you will need to pull the left rear axle out and change the seal and check for a worn axle bearing, this requires the removal of the differential cover, pin and center block or posi spring and clutch pack (if so equipped) and spider gears and then the "C" clip that retains the axle into the gear carrier, u will need a tube of silicone to reseal the cover and a axle seal installer tool and about 2 hours of your time

Well you have to remove the whole assembly

With a 30mm deep socket , remove the axle nut, do this before jacking the car up...

Then jack the car up and remove the wheel.

Then the tie rod end , brake caliper and lower ball joint.

Remove the cross bolt and brake hose bolt on the strut.

pull the assembly off of the strut.

The you need a press to press the old bearing out after you remove the inner snap ring.

press the new bearing in and install a new outer seal and a new snap ring.

reassemble and if you are using a new hub pull it onto the bearings with the axle nut

rh

It likely has a pitted bearing. Recommend pulling out the carrier and the pinion shaft and checking bearings.

Removal

1. Raise vehicle and place jackstands under rear frame crossmember. Lower the hoist so that rear axle housing is at suitable working height.
   

1. Remove axle housing cover from rear axle housing and drain lubricant.
   

1. Perform the inspection before disassembly.
   

1. Remove rear wheels, rear disc brake calipers and rear disc brake rotors.
   
2. Working through cover opening, remove differential pinion shaft lock pin and remove differential pinion shaft and differential pinion gears (4215).

NOTE: THIS IS FREE INFORMATION!!!!

1. Remove rear brake anti-lock sensor . Push axle shaft inward until u-washers at button end of the axle shaft are clear of side gear recess.
   

1. CAUTION: Do not damage inner wheel bearing oil seals when removing axle shafts from rear axle housing. In addition, axle shafts should be completely removed from rear axle housing.
   Remove u-washers and pull axle shafts out of the rear axle housing.

have your rear brakes checked and your diferential fluid it might also be a rear bearing hope this helps

A free solution is to go the Public Library, more than likely they'll have a Chiltons manual. This will show you how to make your repair.

SECTION 205-02B: Rear Drive Axle/Differential — Ford 8.8-Inch Ring Gear 2003 Mustang Workshop Manual IN-VEHICLE REPAIR Axle Shaft Removal

1. Raise and support the vehicle. For additional information, refer to Section 100-02 .

1. Remove the wheel and tire assembly. For additional information, refer to Section 204-04 .

1. Remove the rear brake disc (2C026). For additional information, refer to Section 206-04 .

1. Remove the differential housing cover (4033) and drain the lubricant. For additional information, refer to Differential Housing Cover in this section.

1. Remove the differential pinion shaft (4211).
   1. Remove the differential pinion shaft lock bolt (4241).
   1. Remove the differential pinion shaft.

1. CAUTION: Do not damage the rubber O-ring in the axle shaft groove.
   Remove the U-washer (4N237).
   1. Push the axle shafts (4234) inboard.
   1. Remove the U-washer.

1. CAUTION: Damage to the rear brake anti-lock sensor (2C190) may occur if it is not removed before the axle shaft.
   Carefully remove the rear brake anti-lock sensor. For additional information, refer to Section 206-09A .

1. CAUTION: Do not damage the wheel bearing oil seal.
   Remove the axle shaft.

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Rear Wheel Bearing and Axle Shaft Oil Seal Removal

1. Remove the axle shaft (4234). For additional information, refer to Axle Shaft in this section.

1. NOTE: If the wheel bearing oil seal is leaking, the axle housing vent may be plugged.
   Using the special tools, remove the rear wheel bearing and wheel bearing oil seal.

Installation

1. Lubricate the new rear wheel bearing with the specified lubricant.

1. Using the special tools, install the new rear wheel bearing.

1. Lubricate the lip of the new wheel bearing oil seal.
   • Use Premium Long-Life Grease XG-1-C or equivalent meeting Ford specification ESA-M1C75-B.

1. Using the special tools, install the new wheel bearing oil seal.

1. Install the axle shaft. For additional information, refer to Axle Shaft in this section.

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Installation

1. Lubricate the lip of the wheel bearing oil seal
   • Use Premium Long-Life Grease XG-1-C or equivalent meeting Ford specification ESA-M1C75-B.

1. CAUTION: Do not damage the wheel bearing oil seal.
   Install the two axle shafts.

1. CAUTION: Do not damage the rubber O-ring in the axle shaft groove.
   Install the U-washer.
   1. Position the two U-washers on the button end of the axle shaft.
   1. Pull the axle shaft outward.

1. NOTE: If a new pinion shaft lock bolt is unavailable, coat the threads with Threadlock and Sealer EOAZ-19554-AA or equivalent meeting Ford specification WSK-M2G351-A5 prior to installation.
   Install the differential pinion shaft.
   1. Align the hole in the differential pinion shaft with the case lock bolt hole.
   1. Install a new differential pinion shaft lock bolt.

1. Install the differential housing cover and fill the rear axle with the specified lubrication. For additional information, refer to Differential Housing Cover in this section.

1. Install the rear brake anti-lock sensor. For additional information, refer to Section 206-09A .

1. Install the rear brakes. For additional information, refer to Section 206-04 .

1. Install the tire and wheel assembly. For additional information, refer to Section 204-04 .

1. Lower the vehicle.

Here is a guide on how to change the rear seal and bearings on a ford mustang
http://fhmotorsports.blogspot.com/2013/07/how-to-change-rear-axlewheel-seal-and.html