# Solve for y 5/20-4/20=(2y)/6+(3y)/6

520-420=2y6+3y6
Rewrite the equation as 2y6+3y6=520-420.
2y6+3y6=520-420
Simplify 2y6+3y6.
Combine the numerators over the common denominator.
2y+3y6=520-420
Add 2y and 3y.
5y6=520-420
5y6=520-420
Simplify 520-420.
Combine the numerators over the common denominator.
5y6=5-420
Subtract 4 from 5.
5y6=120
5y6=120
Multiply both sides of the equation by 65.
65⋅5y6=65⋅120
Simplify both sides of the equation.
Simplify 65⋅5y6.
Cancel the common factor of 6.
Cancel the common factor.
65⋅5y6=65⋅120
Rewrite the expression.
15⋅(5y)=65⋅120
15⋅(5y)=65⋅120
Cancel the common factor of 5.
Factor 5 out of 5y.
15⋅(5(y))=65⋅120
Cancel the common factor.
15⋅(5y)=65⋅120
Rewrite the expression.
y=65⋅120
y=65⋅120
y=65⋅120
Simplify 65⋅120.
Cancel the common factor of 2.
Factor 2 out of 6.
y=2(3)5⋅120
Factor 2 out of 20.
y=2⋅35⋅12⋅10
Cancel the common factor.
y=2⋅35⋅12⋅10
Rewrite the expression.
y=35⋅110
y=35⋅110
Multiply 35 and 110.
y=35⋅10
Multiply 5 by 10.
y=350
y=350
y=350
The result can be shown in multiple forms.
Exact Form:
y=350
Decimal Form:
y=0.06
Solve for y 5/20-4/20=(2y)/6+(3y)/6

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