|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

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

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

Solve for y |4y+8|=28