Multiply both sides of the equation by .

Simplify .

Cancel the common factor of .

Cancel the common factor.

Rewrite the expression.

Multiply by .

Multiply by .

Remove the absolute value term. This creates a on the right side of the equation because .

Set up the positive portion of the solution.

Add to both sides of the equation.

Add and .

Set up the negative portion of the solution.

Add to both sides of the equation.

Add and .

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

Solve for y 1/2*|y-9|=16