Solve for y 3 = square root of 8y-15

Math
3=8y-15
Rewrite the equation as 8y-15=3.
8y-15=3
To remove the radical on the left side of the equation, square both sides of the equation.
8y-152=32
Simplify each side of the equation.
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Multiply the exponents in ((8y-15)12)2.
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Apply the power rule and multiply exponents, (am)n=amn.
(8y-15)12⋅2=32
Cancel the common factor of 2.
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Cancel the common factor.
(8y-15)12⋅2=32
Rewrite the expression.
(8y-15)1=32
(8y-15)1=32
(8y-15)1=32
Simplify.
8y-15=32
Raise 3 to the power of 2.
8y-15=9
8y-15=9
Solve for y.
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Move all terms not containing y to the right side of the equation.
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Add 15 to both sides of the equation.
8y=9+15
Add 9 and 15.
8y=24
8y=24
Divide each term by 8 and simplify.
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Divide each term in 8y=24 by 8.
8y8=248
Cancel the common factor of 8.
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Cancel the common factor.
8y8=248
Divide y by 1.
y=248
y=248
Divide 24 by 8.
y=3
y=3
y=3
Solve for y 3 = square root of 8y-15

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