How do you combine 4(x+y-4) + 6(2-3y) 4(x+y−4)+6(2−3y)?

1 Answer
Don't Memorise
Apr 30, 2015

First, we apply the Distributive Property of Multiplication {color(blue)(a*(b+-c) = a*b+-a*ca⋅(b±c)=a⋅b±a⋅c}to this expression:

4(x+y-4) + 6(2-3y) 4(x+y−4)+6(2−3y)

= 4x + 4y -(4*4) +(6*2) +(6*-3y)=4x+4y−(4⋅4)+(6⋅2)+(6⋅−3y)

= 4x + 4y -16 + 12 - 18y=4x+4y−16+12−18y

Next, we group the like terms:

= 4x +(4y - 18y) +(12 - 16)=4x+(4y−18y)+(12−16)

= 4x - 14y - 4=4x−14y−4

= color(green)(2(2x - 7y - 2)=2(2x−7y−2)

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