# Solve for y |y/5|=7

|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
Solve the first equation for y.
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
Solve the second equation for y.
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

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