Write as a Function of x |y|=8-x

$| y | = 8 - x$

Reorder $8$ and $- x$ .

$| y | = - x + 8$

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

$y = \pm (- x + 8)$

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.

$y = - x + 8$

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

$y = - (- x + 8)$

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

$y = - x + 8$

$y = - (- x + 8)$

$y = - x + 8$

$y = - (- x + 8)$