|y+8|=-15

Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.

y+8=±(-15)

Set up the positive portion of the ± solution.

y+8=-15

Subtract 8 from both sides of the equation.

y=-15-8

Subtract 8 from -15.

y=-23

y=-23

Set up the negative portion of the ± solution.

y+8=15

Subtract 8 from both sides of the equation.

y=15-8

Subtract 8 from 15.

y=7

y=7

The solution to the equation includes both the positive and negative portions of the solution.

y=-23,7

Exclude the solutions that do not make |y+8|=-15 true.

No solution

Solve for y |y+8|=-15