|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