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8y-4(5-6y)+20 distributive property - The Learning Company Achieve! Math & Science Grades 1-3 (381933) for PC, Mac

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8y - 4(5 - 6y) + 20
= 8y - 4*5 - 4*(-6y) + 20
= 8y - 4*5 + 24y + 20
= 8y - 20 +24y + 20
= 32y

Posted on Sep 15, 2009

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Hello,
You are talking of the distributivity of multiplication with respect to the addition or subtraction. The only term where you have multiplication and addition/subtraction is the one with parentheses because
4(5-6y) = 4*(5-6y). * means multiply by

Distributing the product consists in removing CORRECTLY the parentheses.
I consider the term alone
4*(5-6y) = 4*5 +4*(-6y)= 20 -4*6*y = 20 -24*y
You put this result in a package and replace it where it was it the original expression.
So
8*y -(package) +20= Replace package
8*y -(20-24*y)+20 = 8*y -20 -(-24y) + 20 Remember -*(-) = +
8*y -20 +24*y +20= Remember -20+20 =0
8*y -20 +20 +24*y= Addition is commutative
8*y +24*y = 32*y
Let y be an orange 8 oranges + 24 oranges =32 oranges.Coclusion
8y-4(5-8y)+20 = 32y

Posted on Sep 15, 2009

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