SOLUTION: Will you simplify this for me? 4y(2y^2-3y)-3y^2(y-4)

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Question 28396: Will you simplify this for me?

4y(2y^2-3y)-3y^2(y-4)
Answer by sdmmadam@yahoo.com(530) About Me  (Show Source):
You can put this solution on YOUR website!
4y(2y^2-3y)-3y^2(y-4)
=8y^3-12y^2-3y^3+12y^2
=8y^3+(-12y^2-3y^3)+12y^2 by additive associativity
=8y^3+(-3y^3-12y^2)+12y^2 by additive commutativity
=(8y^3-3y^3)-12y^2+12y^2 by additive associativity
=5y^3+0 (using -a+a = 0 by additive inverse law)
=5y^3