# Solve for y 1/2y-1=1/6y 12y-1=16y
Combine 12 and y.
y2-1=16y
Combine 16 and y.
y2-1=y6
Move all terms containing y to the left side of the equation.
Subtract y6 from both sides of the equation.
y2-1-y6=0
To write y2 as a fraction with a common denominator, multiply by 33.
y2⋅33-y6-1=0
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply y2 and 33.
y⋅32⋅3-y6-1=0
Multiply 2 by 3.
y⋅36-y6-1=0
y⋅36-y6-1=0
Combine the numerators over the common denominator.
y⋅3-y6-1=0
Subtract y from y⋅3.
Reorder y and 3.
3⋅y-y6-1=0
Subtract y from 3⋅y.
2⋅y6-1=0
2⋅y6-1=0
Cancel the common factor of 2 and 6.
Factor 2 out of 2⋅y.
2(y)6-1=0
Cancel the common factors.
Factor 2 out of 6.
2y2⋅3-1=0
Cancel the common factor.
2y2⋅3-1=0
Rewrite the expression.
y3-1=0
y3-1=0
y3-1=0
y3-1=0
Add 1 to both sides of the equation.
y3=1
Multiply both sides of the equation by 3.
3⋅y3=3⋅1
Simplify both sides of the equation.
Cancel the common factor of 3.
Cancel the common factor.
3⋅y3=3⋅1
Rewrite the expression.
y=3⋅1
y=3⋅1
Multiply 3 by 1.
y=3
y=3
Solve for y 1/2y-1=1/6y

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