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

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Answer 1 · 2015-04-30T05:41:40

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

#4(x+y-4) + 6(2-3y) #

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

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

Next, we group the like terms:

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

# = 4x - 14y - 4#

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