# Solve for y -2/7-1/2y=-1/3

-27-12y=-13
Combine y and 12.
-27-y2=-13
Move all terms not containing y to the right side of the equation.
Add 27 to both sides of the equation.
-y2=-13+27
To write -13 as a fraction with a common denominator, multiply by 77.
-y2=-13⋅77+27
To write 27 as a fraction with a common denominator, multiply by 33.
-y2=-13⋅77+27⋅33
Write each expression with a common denominator of 21, by multiplying each by an appropriate factor of 1.
Multiply 13 and 77.
-y2=-73⋅7+27⋅33
Multiply 3 by 7.
-y2=-721+27⋅33
Multiply 27 and 33.
-y2=-721+2⋅37⋅3
Multiply 7 by 3.
-y2=-721+2⋅321
-y2=-721+2⋅321
Combine the numerators over the common denominator.
-y2=-7+2⋅321
Simplify the numerator.
Multiply 2 by 3.
-y2=-7+621
Add -7 and 6.
-y2=-121
-y2=-121
Move the negative in front of the fraction.
-y2=-121
-y2=-121
Multiply both sides of the equation by -2.
-2⋅(-y2)=-2⋅(-121)
Simplify both sides of the equation.
Simplify -2⋅(-y2).
Cancel the common factor of 2.
Move the leading negative in -y2 into the numerator.
-2⋅-y2=-2⋅(-121)
Factor 2 out of -2.
2(-1)⋅-y2=-2⋅(-121)
Cancel the common factor.
2⋅-1⋅-y2=-2⋅(-121)
Rewrite the expression.
-1⋅(-y)=-2⋅(-121)
-1⋅(-y)=-2⋅(-121)
Multiply.
Multiply -1 by -1.
1⋅y=-2⋅(-121)
Multiply y by 1.
y=-2⋅(-121)
y=-2⋅(-121)
y=-2⋅(-121)
Multiply -2(-121).
Multiply -1 by -2.
y=2(121)
Combine 2 and 121.
y=221
y=221
y=221
The result can be shown in multiple forms.
Exact Form:
y=221
Decimal Form:
y=0.095238‾
Solve for y -2/7-1/2y=-1/3

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