Solve for y 5/6y-7/12=3/4y-13/6

Math
56y-712=34y-136
Combine 56 and y.
5y6-712=34y-136
Combine 34 and y.
5y6-712=3y4-136
Move all terms containing y to the left side of the equation.
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Subtract 3y4 from both sides of the equation.
5y6-712-3y4=-136
To write 5y6 as a fraction with a common denominator, multiply by 22.
5y6⋅22-3y4-712=-136
To write -3y4 as a fraction with a common denominator, multiply by 33.
5y6⋅22-3y4⋅33-712=-136
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
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Multiply 5y6 and 22.
5y⋅26⋅2-3y4⋅33-712=-136
Multiply 6 by 2.
5y⋅212-3y4⋅33-712=-136
Multiply 3y4 and 33.
5y⋅212-3y⋅34⋅3-712=-136
Multiply 4 by 3.
5y⋅212-3y⋅312-712=-136
5y⋅212-3y⋅312-712=-136
Combine the numerators over the common denominator.
5y⋅2-3y⋅312-712=-136
Combine the numerators over the common denominator.
5y⋅2-3y⋅3-712=-136
Simplify the numerator.
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Multiply 2 by 5.
10y-3y⋅3-712=-136
Multiply 3 by -3.
10y-9y-712=-136
Subtract 9y from 10y.
y-712=-136
y-712=-136
y-712=-136
Multiply both sides of the equation by 12.
12⋅y-712=12⋅(-136)
Simplify both sides of the equation.
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Cancel the common factor of 12.
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Cancel the common factor.
12⋅y-712=12⋅(-136)
Rewrite the expression.
y-7=12⋅(-136)
y-7=12⋅(-136)
Simplify 12⋅(-136).
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Cancel the common factor of 6.
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Move the leading negative in -136 into the numerator.
y-7=12⋅-136
Factor 6 out of 12.
y-7=6(2)⋅-136
Cancel the common factor.
y-7=6⋅2⋅-136
Rewrite the expression.
y-7=2⋅-13
y-7=2⋅-13
Multiply 2 by -13.
y-7=-26
y-7=-26
y-7=-26
Move all terms not containing y to the right side of the equation.
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Add 7 to both sides of the equation.
y=-26+7
Add -26 and 7.
y=-19
y=-19
Solve for y 5/6y-7/12=3/4y-13/6

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