Write as a Function of y |x|-y=6

$| x | - y = 6$

Add $y$ to both sides of the equation.

$| x | = 6 + y$

Reorder $6$ and $y$ .

$| x | = y + 6$

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

$x = \pm (y + 6)$

Set up the positive portion of the $\pm$ solution.

$x = y + 6$

Set up the negative portion of the $\pm$ solution.

$x = - (y + 6)$

Simplify $- (y + 6)$ .

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Apply the distributive property.

$x = - y - 1 \cdot 6$

Multiply $- 1$ by $6$ .

$x = - y - 6$

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

$x = y + 6$

$x = - y - 6$

To rewrite as a function of $y$ , write the equation so that $x$ is by itself on one side of the equal sign and an expression involving only $y$ is on the other side.

$f (y) = y + 6, - y - 6$

Write as a Function of y |x|-y=6

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