Solve 3y+7/4<-2

$$\frac { 3 y + 7 } { 4 } < - 2$$

Solve for y

$$y<-5$$

Solution Steps

Multiply both sides by 4. Since 4 is positive, the inequality direction remains the same.

$$3y+7<-2\times 4$$

Multiply -2 and 4 to get -8.

$$3y+7<-8$$

Subtract 7 from both sides.

$$3y<-8-7$$

Subtract 7 from -8 to get -15.

$$3y<-15$$

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

$$y<\frac{-15}{3}$$

Divide -15 by 3 to get -5.

$$y<-5$$