# Solve for y -1/2=-9/2y-7/8 -12=-92y-78
Rewrite the equation as -92y-78=-12.
-92y-78=-12
Simplify each term.
Combine y and 92.
-y⋅92-78=-12
Move 9 to the left of y.
-9y2-78=-12
-9y2-78=-12
Move all terms not containing y to the right side of the equation.
Add 78 to both sides of the equation.
-9y2=-12+78
To write -12 as a fraction with a common denominator, multiply by 44.
-9y2=-12⋅44+78
Write each expression with a common denominator of 8, by multiplying each by an appropriate factor of 1.
Multiply 12 and 44.
-9y2=-42⋅4+78
Multiply 2 by 4.
-9y2=-48+78
-9y2=-48+78
Combine the numerators over the common denominator.
-9y2=-4+78
Add -4 and 7.
-9y2=38
-9y2=38
Multiply both sides of the equation by -29.
-29⋅(-9y2)=-29⋅38
Simplify both sides of the equation.
Simplify -29⋅(-9y2).
Cancel the common factor of 2.
Move the leading negative in -29 into the numerator.
-29⋅(-9y2)=-29⋅38
Move the leading negative in -9y2 into the numerator.
-29⋅-9y2=-29⋅38
Factor 2 out of -2.
2(-1)9⋅-9y2=-29⋅38
Cancel the common factor.
2⋅-19⋅-9y2=-29⋅38
Rewrite the expression.
-19⋅(-9y)=-29⋅38
-19⋅(-9y)=-29⋅38
Cancel the common factor of 9.
Factor 9 out of -9y.
-19⋅(9(-y))=-29⋅38
Cancel the common factor.
-19⋅(9(-y))=-29⋅38
Rewrite the expression.
-1⋅(-y)=-29⋅38
-1⋅(-y)=-29⋅38
Multiply.
Multiply -1 by -1.
1⋅y=-29⋅38
Multiply y by 1.
y=-29⋅38
y=-29⋅38
y=-29⋅38
Simplify -29⋅38.
Cancel the common factor of 2.
Move the leading negative in -29 into the numerator.
y=-29⋅38
Factor 2 out of -2.
y=2(-1)9⋅38
Factor 2 out of 8.
y=2⋅-19⋅32⋅4
Cancel the common factor.
y=2⋅-19⋅32⋅4
Rewrite the expression.
y=-19⋅34
y=-19⋅34
Cancel the common factor of 3.
Factor 3 out of 9.
y=-13(3)⋅34
Cancel the common factor.
y=-13⋅3⋅34
Rewrite the expression.
y=-13⋅14
y=-13⋅14
Multiply -13 and 14.
y=-13⋅4
Simplify the expression.
Multiply 3 by 4.
y=-112
Move the negative in front of the fraction.
y=-112
y=-112
y=-112
y=-112
The result can be shown in multiple forms.
Exact Form:
y=-112
Decimal Form:
y=-0.083‾
Solve for y -1/2=-9/2y-7/8

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