Answer
$y = (-4,6)$
Work Step by Step
$-11 \lt y-7 \lt -1$
1. Separate into two inequalities:
$y - 7 \gt -11$
$y - 7 \lt -1$
2. Solve the inequalities:
$y \gt -4$
$y \lt 6$
3. Find the intersection to get your answer:
$y = (-4,6)$