Solve for y 39=|y+12|

$39 = | y + 12 |$

Rewrite the equation as $| y + 12 | = 39$ .

$| y + 12 | = 39$

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

$y + 12 = \pm 39$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$y + 12 = 39$

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

Subtract $12$ from both sides of the equation.

$y = 39 - 12$

Subtract $12$ from $39$ .

$y = 27$

Next, use the negative value of the $\pm$ to find the second solution.

$y + 12 = - 39$

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

Subtract $12$ from both sides of the equation.

$y = - 39 - 12$

Subtract $12$ from $- 39$ .

$y = - 51$

The complete solution is the result of both the positive and negative portions of the solution.

$y = 27, - 51$