Solve for y -1/5=-1/4-1/8y

Math
-15=-14-18y
Rewrite the equation as -14-18y=-15.
-14-18y=-15
Combine y and 18.
-14-y8=-15
Move all terms not containing y to the right side of the equation.
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Add 14 to both sides of the equation.
-y8=-15+14
To write -15 as a fraction with a common denominator, multiply by 44.
-y8=-15⋅44+14
To write 14 as a fraction with a common denominator, multiply by 55.
-y8=-15⋅44+14⋅55
Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.
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Multiply 15 and 44.
-y8=-45⋅4+14⋅55
Multiply 5 by 4.
-y8=-420+14⋅55
Multiply 14 and 55.
-y8=-420+54⋅5
Multiply 4 by 5.
-y8=-420+520
-y8=-420+520
Combine the numerators over the common denominator.
-y8=-4+520
Add -4 and 5.
-y8=120
-y8=120
Multiply both sides of the equation by -8.
-8⋅(-y8)=-8⋅120
Simplify both sides of the equation.
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Simplify -8⋅(-y8).
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Cancel the common factor of 8.
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Move the leading negative in -y8 into the numerator.
-8⋅-y8=-8⋅120
Factor 8 out of -8.
8(-1)⋅-y8=-8⋅120
Cancel the common factor.
8⋅-1⋅-y8=-8⋅120
Rewrite the expression.
-1⋅(-y)=-8⋅120
-1⋅(-y)=-8⋅120
Multiply.
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Multiply -1 by -1.
1⋅y=-8⋅120
Multiply y by 1.
y=-8⋅120
y=-8⋅120
y=-8⋅120
Simplify -8⋅120.
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Cancel the common factor of 4.
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Factor 4 out of -8.
y=4(-2)⋅120
Factor 4 out of 20.
y=4⋅-2⋅14⋅5
Cancel the common factor.
y=4⋅-2⋅14⋅5
Rewrite the expression.
y=-2⋅15
y=-2⋅15
Combine -2 and 15.
y=-25
Move the negative in front of the fraction.
y=-25
y=-25
y=-25
The result can be shown in multiple forms.
Exact Form:
y=-25
Decimal Form:
y=-0.4
Solve for y -1/5=-1/4-1/8y

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