Question

question solve for all values of y in simplest form. 37 = |y + 16|

Explanation:

Step1: Consider positive case

When $y + 16\geq0$, the equation becomes $37=y + 16$.
Solve for $y$: $y=37 - 16$.

Step2: Consider negative case

When $y + 16<0$, the equation becomes $37=-(y + 16)$.
Expand: $37=-y - 16$.
Add $y$ to both sides: $y + 37=- 16$.
Subtract 37 from both sides: $y=-16 - 37$.

Answer:

$y = 21$ or $y=-53$