Solve for y (y+4)/12=5/8

Math
y+412=58
Multiply both sides of the equation by 12.
12⋅y+412=12⋅58
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+412=12⋅58
Rewrite the expression.
y+4=12⋅58
y+4=12⋅58
Simplify 12⋅58.
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Cancel the common factor of 4.
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Factor 4 out of 12.
y+4=4(3)⋅58
Factor 4 out of 8.
y+4=4⋅3⋅54⋅2
Cancel the common factor.
y+4=4⋅3⋅54⋅2
Rewrite the expression.
y+4=3⋅52
y+4=3⋅52
Combine 3 and 52.
y+4=3⋅52
Multiply 3 by 5.
y+4=152
y+4=152
y+4=152
Move all terms not containing y to the right side of the equation.
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Subtract 4 from both sides of the equation.
y=152-4
To write -4 as a fraction with a common denominator, multiply by 22.
y=152-4⋅22
Combine -4 and 22.
y=152+-4⋅22
Combine the numerators over the common denominator.
y=15-4⋅22
Simplify the numerator.
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Multiply -4 by 2.
y=15-82
Subtract 8 from 15.
y=72
y=72
y=72
The result can be shown in multiple forms.
Exact Form:
y=72
Decimal Form:
y=3.5
Mixed Number Form:
y=312
Solve for y (y+4)/12=5/8

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