# Solve the Rational Equation for y y/9-2/5=1/3

Move all terms not containing to the right side of the equation.

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Add to both sides of the equation.

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

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

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

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Multiply and .

Multiply by .

Multiply and .

Multiply by .

Combine the numerators over the common denominator.

Simplify the numerator.

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Multiply by .

Add and .

Multiply both sides of the equation by .

Simplify both sides of the equation.

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Simplify the left side.

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Cancel the common factor of .

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Cancel the common factor.

Rewrite the expression.

Simplify the right side.

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Simplify .

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Cancel the common factor of .

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Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Combine and .

Multiply by .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Mixed Number Form:

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