|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
