# Solve for y |4y+8|=28 |4y+8|=28
Remove the absolute value term. This creates a ± on the right side of the equation because |x|=±x.
4y+8=±28
Set up the positive portion of the ± solution.
4y+8=28
Solve the first equation for y.
Move all terms not containing y to the right side of the equation.
Subtract 8 from both sides of the equation.
4y=28-8
Subtract 8 from 28.
4y=20
4y=20
Divide each term by 4 and simplify.
Divide each term in 4y=20 by 4.
4y4=204
Cancel the common factor of 4.
Cancel the common factor.
4y4=204
Divide y by 1.
y=204
y=204
Divide 20 by 4.
y=5
y=5
y=5
Set up the negative portion of the ± solution.
4y+8=-28
Solve the second equation for y.
Move all terms not containing y to the right side of the equation.
Subtract 8 from both sides of the equation.
4y=-28-8
Subtract 8 from -28.
4y=-36
4y=-36
Divide each term by 4 and simplify.
Divide each term in 4y=-36 by 4.
4y4=-364
Cancel the common factor of 4.
Cancel the common factor.
4y4=-364
Divide y by 1.
y=-364
y=-364
Divide -36 by 4.
y=-9
y=-9
y=-9
The solution to the equation includes both the positive and negative portions of the solution.
y=5,-9
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