|y5|=7

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

y5=±7

Set up the positive portion of the ± solution.

y5=7

Multiply both sides of the equation by 5.

5⋅y5=5⋅7

Simplify both sides of the equation.

Cancel the common factor of 5.

Cancel the common factor.

5⋅y5=5⋅7

Rewrite the expression.

y=5⋅7

y=5⋅7

Multiply 5 by 7.

y=35

y=35

y=35

Set up the negative portion of the ± solution.

y5=-7

Multiply both sides of the equation by 5.

5⋅y5=5⋅(-7)

Simplify both sides of the equation.

Cancel the common factor of 5.

Cancel the common factor.

5⋅y5=5⋅(-7)

Rewrite the expression.

y=5⋅(-7)

y=5⋅(-7)

Multiply 5 by -7.

y=-35

y=-35

y=-35

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

y=35,-35

Solve for y |y/5|=7