# Chapter 1 - Section 1.4 - Properties of Real Numbers and Algebraic Expressions - Exercise Set - Page 39: 53

$-4x+8y-28$

#### Work Step by Step

We are given the expression $-4(x-2y+7)$. In general, the distributive property holds that $a(b+c)=ab+ac$. However, since this example has 4 terms, we can rewrite the distributive property as $a(b+c+d)=ab+ac+ad$. $a=-4$, $b=x$, $c=-2y$, and $d=7$ $a(b+c+d)=-4(x-2y+7)=-4(x)-4(-2y)-4(7)=-4x+8y-28$

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