Question

solve for all values of y in simplest form. 15 = |-y + 15|

Explanation:

Step1: Consider positive - case

Set $-y + 15=15$.
$-y+15 = 15$
$-y=15 - 15$
$-y = 0$
$y = 0$

Step2: Consider negative - case

Set $-y + 15=-15$.
$-y+15=-15$
$-y=-15 - 15$
$-y=-30$
$y = 30$

Answer:

$y = 0,y = 30$