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3y-4-9y<-34
Subtract 9y from both sides.
-6y-4<-34
Combine 3y and -9y to get -6y.
-6y<-34+4
Add 4 to both sides.
-6y<-30
Add -34 and 4 to get -30.
y>\frac{-30}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
y>5
Divide -30 by -6 to get 5.