Write as a Function of y |x|-y=10

$| x | - y = 10$

Add $y$ to both sides of the equation.

$| x | = 10 + y$

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

$x = \pm (10 + y)$

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.

$x = 10 + y$

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

$x = - (10 + y)$

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

$x = 10 + y$

$x = - (10 + y)$

$x = 10 + y$

$x = - (10 + y)$