Solve for y 5/8y-3=1/2

Math
58y-3=12
Combine 58 and y.
5y8-3=12
Move all terms not containing y to the right side of the equation.
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Add 3 to both sides of the equation.
5y8=12+3
To write 3 as a fraction with a common denominator, multiply by 22.
5y8=12+3⋅22
Combine 3 and 22.
5y8=12+3⋅22
Combine the numerators over the common denominator.
5y8=1+3⋅22
Simplify the numerator.
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Multiply 3 by 2.
5y8=1+62
Add 1 and 6.
5y8=72
5y8=72
5y8=72
Multiply both sides of the equation by 85.
85⋅5y8=85⋅72
Simplify both sides of the equation.
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Simplify 85⋅5y8.
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Cancel the common factor of 8.
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Cancel the common factor.
85⋅5y8=85⋅72
Rewrite the expression.
15⋅(5y)=85⋅72
15⋅(5y)=85⋅72
Cancel the common factor of 5.
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Factor 5 out of 5y.
15⋅(5(y))=85⋅72
Cancel the common factor.
15⋅(5y)=85⋅72
Rewrite the expression.
y=85⋅72
y=85⋅72
y=85⋅72
Simplify 85⋅72.
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Cancel the common factor of 2.
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Factor 2 out of 8.
y=2(4)5⋅72
Cancel the common factor.
y=2⋅45⋅72
Rewrite the expression.
y=45⋅7
y=45⋅7
Combine 45 and 7.
y=4⋅75
Multiply 4 by 7.
y=285
y=285
y=285
The result can be shown in multiple forms.
Exact Form:
y=285
Decimal Form:
y=5.6
Mixed Number Form:
y=535
Solve for y 5/8y-3=1/2

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