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x-\frac{1}{3}y=\frac{5}{3\times 2}
Express \frac{\frac{5}{3}}{2} as a single fraction.
x-\frac{1}{3}y=\frac{5}{6}
Multiply 3 and 2 to get 6.
x=\frac{5}{6}+\frac{1}{3}y
Add \frac{1}{3}y to both sides.