|2y+12|=16

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

2y+12=±16

Set up the positive portion of the ± solution.

2y+12=16

Move all terms not containing y to the right side of the equation.

Subtract 12 from both sides of the equation.

2y=16-12

Subtract 12 from 16.

2y=4

2y=4

Divide each term by 2 and simplify.

Divide each term in 2y=4 by 2.

2y2=42

Cancel the common factor of 2.

Cancel the common factor.

2y2=42

Divide y by 1.

y=42

y=42

Divide 4 by 2.

y=2

y=2

y=2

Set up the negative portion of the ± solution.

2y+12=-16

Move all terms not containing y to the right side of the equation.

Subtract 12 from both sides of the equation.

2y=-16-12

Subtract 12 from -16.

2y=-28

2y=-28

Divide each term by 2 and simplify.

Divide each term in 2y=-28 by 2.

2y2=-282

Cancel the common factor of 2.

Cancel the common factor.

2y2=-282

Divide y by 1.

y=-282

y=-282

Divide -28 by 2.

y=-14

y=-14

y=-14

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

y=2,-14

Solve for y |2y+12|=16