Solve for y
y=-\frac{1}{3}\approx -0.333333333
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\left(9y-5\right)\times 2=\left(7y-3\right)\times 3
Variable y cannot be equal to any of the values \frac{3}{7},\frac{5}{9} since division by zero is not defined. Multiply both sides of the equation by \left(7y-3\right)\left(9y-5\right), the least common multiple of 7y-3,9y-5.
18y-10=\left(7y-3\right)\times 3
Use the distributive property to multiply 9y-5 by 2.
18y-10=21y-9
Use the distributive property to multiply 7y-3 by 3.
18y-10-21y=-9
Subtract 21y from both sides.
-3y-10=-9
Combine 18y and -21y to get -3y.
-3y=-9+10
Add 10 to both sides.
-3y=1
Add -9 and 10 to get 1.
y=\frac{1}{-3}
Divide both sides by -3.
y=-\frac{1}{3}
Fraction \frac{1}{-3} can be rewritten as -\frac{1}{3} by extracting the negative sign.
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