Solve for y 22/(y-5)=12/y

Math
22y-5=12y
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
22⋅y=(y-5)⋅12
Solve the equation for y.
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Multiply 22 by y.
22y=(y-5)⋅12
Simplify (y-5)⋅12.
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Apply the distributive property.
22y=y⋅12-5⋅12
Simplify the expression.
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Move 12 to the left of y.
22y=12⋅y-5⋅12
Multiply -5 by 12.
22y=12y-60
22y=12y-60
22y=12y-60
Move all terms containing y to the left side of the equation.
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Subtract 12y from both sides of the equation.
22y-12y=-60
Subtract 12y from 22y.
10y=-60
10y=-60
Divide each term by 10 and simplify.
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Divide each term in 10y=-60 by 10.
10y10=-6010
Cancel the common factor of 10.
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Cancel the common factor.
10y10=-6010
Divide y by 1.
y=-6010
y=-6010
Divide -60 by 10.
y=-6
y=-6
y=-6
Solve for y 22/(y-5)=12/y

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