Calculate: |y+5| < 2

Expression: $|y+5| < 2$

Adding is the same as subtracting the opposite

$|y-\left( -5 \right)| < 2$

The inequality represents all real numbers $y$ with distance from $-5$ that is less than $2$, so $|y-\left( -5 \right)| < 2$ means the same as the compound inequality $-2 < y-\left( -5 \right) < 2$

$-2 < y-\left( -5 \right) < 2$

When there is a $-$ in front of an expression in parentheses, change the sign of each term of the expression and remove the parentheses

$-2 < y+5 < 2$

Subtract $5$ from each part of the inequality

$\begin{align*}&-7 < y < -3 \\&\begin{array} { l }y \in \langle-7, -3\rangle\end{array}\end{align*}$