y6+y5=76

To write y6 as a fraction with a common denominator, multiply by 55.

y6⋅55+y5=76

To write y5 as a fraction with a common denominator, multiply by 66.

y6⋅55+y5⋅66=76

Write each expression with a common denominator of 30, by multiplying each by an appropriate factor of 1.

Multiply y6 and 55.

y⋅56⋅5+y5⋅66=76

Multiply 6 by 5.

y⋅530+y5⋅66=76

Multiply y5 and 66.

y⋅530+y⋅65⋅6=76

Multiply 5 by 6.

y⋅530+y⋅630=76

y⋅530+y⋅630=76

Combine the numerators over the common denominator.

y⋅5+y⋅630=76

Simplify the numerator.

Move 5 to the left of y.

5⋅y+y⋅630=76

Move 6 to the left of y.

5y+6⋅y30=76

Add 5y and 6y.

11y30=76

11y30=76

11y30=76

Multiply both sides of the equation by 3011.

3011⋅11y30=3011⋅76

Simplify 3011⋅11y30.

Cancel the common factor of 30.

Cancel the common factor.

3011⋅11y30=3011⋅76

Rewrite the expression.

111⋅(11y)=3011⋅76

111⋅(11y)=3011⋅76

Cancel the common factor of 11.

Factor 11 out of 11y.

111⋅(11(y))=3011⋅76

Cancel the common factor.

111⋅(11y)=3011⋅76

Rewrite the expression.

y=3011⋅76

y=3011⋅76

y=3011⋅76

Simplify 3011⋅76.

Cancel the common factor of 6.

Factor 6 out of 30.

y=6(5)11⋅76

Cancel the common factor.

y=6⋅511⋅76

Rewrite the expression.

y=511⋅7

y=511⋅7

Combine 511 and 7.

y=5⋅711

Multiply 5 by 7.

y=3511

y=3511

y=3511

The result can be shown in multiple forms.

Exact Form:

y=3511

Decimal Form:

y=3.18‾

Mixed Number Form:

y=3211

Solve for y y/6+y/5=7/6