#### Answer

$y\leq-11$
or
$y\geq-5$

#### Work Step by Step

We are given $|y+8|\geq3$
This is an absolute value inequality which could be written as:
$y+8\geq3$ or $y+8\leq-3$
First solution:
$y+8\leq-3$
$y+8-(8)\leq-3-(8)$
$y\leq-11$
Second solution:
$y+8-(8)\geq3-8$
$y\geq-5$