# How do you solve -2abs(y-7)+18=8?

Mar 20, 2017

$y = 12$ or $y = 2$

#### Explanation:

First subtract $18$ from both sides
$- 2 \left\mid y - 7 \right\mid = 8 - 18$
$- 2 \left\mid y - 7 \right\mid = - 10$

Then divide both sides by $- 2$
$\left\mid y - 7 \right\mid = 5$

Since $\left\mid y - 7 \right\mid = 5$
$y - 7 = 5$ or $y - 7 = - 5$
$y = 5 + 7$ or $y = - 5 + 7$
$y = 12$ or $y = 2$