Solve 2(3y-1)<-14

$$2 ( 3 y - 1 ) < - 14$$

Solve for y

$$y<-2$$

Solution Steps

Divide both sides by 2. Since 2 is positive, the inequality direction remains the same.

$$3y-1<\frac{-14}{2}$$

Divide -14 by 2 to get -7.

$$3y-1<-7$$

Add 1 to both sides.

$$3y<-7+1$$

Add -7 and 1 to get -6.

$$3y<-6$$

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

$$y<\frac{-6}{3}$$

Divide -6 by 3 to get -2.

$$y<-2$$