Answer
Interval Notation :$[2,12]$
Graph:
Work Step by Step
$|y-7| \leq 5$
Using the absolute inequality property,
$-5 \leq y-7 \leq 5$
Add $7$ to all terms.
$-5+7 \leq y-7+7 \leq 5+7$
$2 \leq y \leq 12$
Interval Notation :$[2,12]$
Graph: