# How do you solve |8-y| = |y + 2|?

Apr 8, 2017

$y = 3$

#### Explanation:

As $| 8 - y | = | y + 2 |$, we have

either $8 - y = y + 2$

i.e. $- y - y = 2 - 8$

or $- 2 y = - 6$ or $y = 3$

or $8 - y = - \left(y + 2\right)$

i.e. $8 - y = - y - 2$

or $8 = - 2$ - but this is not possible.

Hence, only answer is $y = 3$