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

Apr 30, 2015

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

$4 \left(x + y - 4\right) + 6 \left(2 - 3 y\right)$

$= 4 x + 4 y - \left(4 \cdot 4\right) + \left(6 \cdot 2\right) + \left(6 \cdot - 3 y\right)$

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

Next, we group the like terms:

$= 4 x + \left(4 y - 18 y\right) + \left(12 - 16\right)$

$= 4 x - 14 y - 4$

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