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

Set up the positive portion of the solution.

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

Add to both sides of the equation.

Add and .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

Set up the negative portion of the solution.

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

Add to both sides of the equation.

Add and .

Divide each term by and simplify.

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

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

Solve for y |2y-1|=7