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2y-7-8y>9
Subtract 8y from both sides.
-6y-7>9
Combine 2y and -8y to get -6y.
-6y>9+7
Add 7 to both sides.
-6y>16
Add 9 and 7 to get 16.
y<\frac{16}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
y<-\frac{8}{3}
Reduce the fraction \frac{16}{-6} to lowest terms by extracting and canceling out 2.