# How do you solve |6-y|=8?

##### 1 Answer
Aug 3, 2017

${y}_{1}$ = -2
${y}_{2}$ = 14

#### Explanation:

First of all separate the two absolute equations as if they were two separate equations (one positive and one negative)

6-$y$=8
6-$y$=-8

Then, you solve equations. Solve the first one

$\implies - y = 8 - 6 \implies - y = 2 \implies y = - 2$

Then, the second one :

$\implies - y = - 8 - 6 \implies - y = - 14 \implies y = 14$

So the two solutions are

${y}_{1} = - 2$
and
${y}_{2} = 14$