Solve for y
y = \frac{9}{2} = 4\frac{1}{2} = 4.5
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\frac{3}{5}y=\frac{7}{10}+2
Add 2 to both sides.
\frac{3}{5}y=\frac{7}{10}+\frac{20}{10}
Convert 2 to fraction \frac{20}{10}.
\frac{3}{5}y=\frac{7+20}{10}
Since \frac{7}{10} and \frac{20}{10} have the same denominator, add them by adding their numerators.
\frac{3}{5}y=\frac{27}{10}
Add 7 and 20 to get 27.
y=\frac{27}{10}\times \frac{5}{3}
Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.
y=\frac{27\times 5}{10\times 3}
Multiply \frac{27}{10} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.
y=\frac{135}{30}
Do the multiplications in the fraction \frac{27\times 5}{10\times 3}.
y=\frac{9}{2}
Reduce the fraction \frac{135}{30} to lowest terms by extracting and canceling out 15.
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