Solve for y y+1=1/3y

Math
y+1=13y
Combine 13 and y.
y+1=y3
Move all terms containing y to the left side of the equation.
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Subtract y3 from both sides of the equation.
y+1-y3=0
To write y as a fraction with a common denominator, multiply by 33.
y⋅33-y3+1=0
Combine y and 33.
y⋅33-y3+1=0
Combine the numerators over the common denominator.
y⋅3-y3+1=0
Subtract y from y⋅3.
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Reorder y and 3.
3⋅y-y3+1=0
Subtract y from 3⋅y.
2⋅y3+1=0
2y3+1=0
2y3+1=0
Subtract 1 from both sides of the equation.
2y3=-1
Multiply both sides of the equation by 32.
32⋅2y3=32⋅-1
Simplify both sides of the equation.
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Simplify 32⋅2y3.
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Cancel the common factor of 3.
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Cancel the common factor.
32⋅2y3=32⋅-1
Rewrite the expression.
12⋅(2y)=32⋅-1
12⋅(2y)=32⋅-1
Cancel the common factor of 2.
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Factor 2 out of 2y.
12⋅(2(y))=32⋅-1
Cancel the common factor.
12⋅(2y)=32⋅-1
Rewrite the expression.
y=32⋅-1
y=32⋅-1
y=32⋅-1
Simplify 32⋅-1.
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Multiply 32⋅-1.
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Combine 32 and -1.
y=3⋅-12
Multiply 3 by -1.
y=-32
y=-32
Move the negative in front of the fraction.
y=-32
y=-32
y=-32
The result can be shown in multiple forms.
Exact Form:
y=-32
Decimal Form:
y=-1.5
Mixed Number Form:
y=-112
Solve for y y+1=1/3y

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