# Solve for y 3/4y+1/3=5/6

34y+13=56
Combine 34 and y.
3y4+13=56
Move all terms not containing y to the right side of the equation.
Subtract 13 from both sides of the equation.
3y4=56-13
To write -13 as a fraction with a common denominator, multiply by 22.
3y4=56-13⋅22
Write each expression with a common denominator of 6, by multiplying each by an appropriate factor of 1.
Multiply 13 and 22.
3y4=56-23⋅2
Multiply 3 by 2.
3y4=56-26
3y4=56-26
Combine the numerators over the common denominator.
3y4=5-26
Subtract 2 from 5.
3y4=36
Cancel the common factor of 3 and 6.
Factor 3 out of 3.
3y4=3(1)6
Cancel the common factors.
Factor 3 out of 6.
3y4=3⋅13⋅2
Cancel the common factor.
3y4=3⋅13⋅2
Rewrite the expression.
3y4=12
3y4=12
3y4=12
3y4=12
Multiply both sides of the equation by 43.
43⋅3y4=43⋅12
Simplify both sides of the equation.
Simplify 43⋅3y4.
Cancel the common factor of 4.
Cancel the common factor.
43⋅3y4=43⋅12
Rewrite the expression.
13⋅(3y)=43⋅12
13⋅(3y)=43⋅12
Cancel the common factor of 3.
Factor 3 out of 3y.
13⋅(3(y))=43⋅12
Cancel the common factor.
13⋅(3y)=43⋅12
Rewrite the expression.
y=43⋅12
y=43⋅12
y=43⋅12
Cancel the common factor of 2.
Factor 2 out of 4.
y=2(2)3⋅12
Cancel the common factor.
y=2⋅23⋅12
Rewrite the expression.
y=23
y=23
y=23
The result can be shown in multiple forms.
Exact Form:
y=23
Decimal Form:
y=0.6‾
Solve for y 3/4y+1/3=5/6

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