Solve -5(6y-1)+22<-63

$$- 5 ( 6 y - 1 ) + 22 < - 63$$

Solve for y

$$y>3$$

Solution Steps

Use the distributive property to multiply -5 by 6y-1.

$$-30y+5+22<-63$$

Add 5 and 22 to get 27.

$$-30y+27<-63$$

Subtract 27 from both sides.

$$-30y<-63-27$$

Subtract 27 from -63 to get -90.

$$-30y<-90$$

Divide both sides by -30. Since -30 is negative, the inequality direction is changed.

$$y>\frac{-90}{-30}$$

Divide -90 by -30 to get 3.

$$y>3$$