# Solve for y (y+a)/a=(y+b)/b

Multiply both sides of the equation by .
Remove parentheses.
Simplify .
Combine and .
Reorder factors in .
Move all terms containing to the left side of the equation.
Subtract from both sides of the equation.
To write as a fraction with a common denominator, multiply by .
Combine the numerators over the common denominator.
Apply the distributive property.
To write as a fraction with a common denominator, multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Multiply both sides of the equation by .
Simplify .
Apply the distributive property.
Rewrite using the commutative property of multiplication.
Multiply by .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
Solve for y (y+a)/a=(y+b)/b

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