Answer
$y=14$ and $y=-20$.
Work Step by Step
The given equation is
$\Rightarrow |y+3|=17$
Write related linear equations.
$\Rightarrow y+3=17$ or $y+3=-17$
Subtract $3$ from each side.
$\Rightarrow y+3-3=17-3$ or $y+3-3=-17-3$
Simplify.
$\Rightarrow y=14$ or $y=-20$
Check :-
$y=14$
$\Rightarrow |14+3|=17$
$\Rightarrow |17|=17$
$\Rightarrow 17=17$
True.
$y=-20$
$\Rightarrow |-20+3|=17$
$\Rightarrow |-17|=17$
$\Rightarrow 17=17$
True.
Hence, the solutions are $y=14$ and $y=-20$.
