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\frac{30}{13}y=2470
Combine \frac{17}{13}y and y to get \frac{30}{13}y.
y=2470\times \frac{13}{30}
Multiply both sides by \frac{13}{30}, the reciprocal of \frac{30}{13}.
y=\frac{2470\times 13}{30}
Express 2470\times \frac{13}{30} as a single fraction.
y=\frac{32110}{30}
Multiply 2470 and 13 to get 32110.
y=\frac{3211}{3}
Reduce the fraction \frac{32110}{30} to lowest terms by extracting and canceling out 10.