# Solve for y 1/8y-12=3/8-4

18y-12=38-4
Combine 18 and y.
y8-12=38-4
Simplify 38-4.
To write -4 as a fraction with a common denominator, multiply by 88.
y8-12=38-4⋅88
Combine -4 and 88.
y8-12=38+-4⋅88
Combine the numerators over the common denominator.
y8-12=3-4⋅88
Simplify the numerator.
Multiply -4 by 8.
y8-12=3-328
Subtract 32 from 3.
y8-12=-298
y8-12=-298
Move the negative in front of the fraction.
y8-12=-298
y8-12=-298
Move all terms not containing y to the right side of the equation.
Add 12 to both sides of the equation.
y8=-298+12
To write 12 as a fraction with a common denominator, multiply by 88.
y8=-298+12⋅88
Combine 12 and 88.
y8=-298+12⋅88
Combine the numerators over the common denominator.
y8=-29+12⋅88
Simplify the numerator.
Multiply 12 by 8.
y8=-29+968
Add -29 and 96.
y8=678
y8=678
y8=678
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
y=67
Solve for y 1/8y-12=3/8-4

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