Solve for y square root of 7-2y-5=8

Math
7-2y-5=8
Move all terms not containing 7-2y to the right side of the equation.
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Add 5 to both sides of the equation.
7-2y=8+5
Add 8 and 5.
7-2y=13
7-2y=13
To remove the radical on the left side of the equation, square both sides of the equation.
7-2y2=132
Simplify each side of the equation.
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Multiply the exponents in ((7-2y)12)2.
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Apply the power rule and multiply exponents, (am)n=amn.
(7-2y)12⋅2=132
Cancel the common factor of 2.
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Cancel the common factor.
(7-2y)12⋅2=132
Rewrite the expression.
(7-2y)1=132
(7-2y)1=132
(7-2y)1=132
Simplify.
7-2y=132
Raise 13 to the power of 2.
7-2y=169
7-2y=169
Solve for y.
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Move all terms not containing y to the right side of the equation.
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Subtract 7 from both sides of the equation.
-2y=169-7
Subtract 7 from 169.
-2y=162
-2y=162
Divide each term by -2 and simplify.
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Divide each term in -2y=162 by -2.
-2y-2=162-2
Cancel the common factor of -2.
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Cancel the common factor.
-2y-2=162-2
Divide y by 1.
y=162-2
y=162-2
Divide 162 by -2.
y=-81
y=-81
y=-81
Solve for y square root of 7-2y-5=8

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