Solve 3-19<-5-2y

$$3 - 19 < - 5 - 2 y$$

Solve for y

$$y<\frac{11}{2}$$

Solution Steps

Subtract 19 from 3 to get -16.

$$-16<-5-2y$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$-5-2y>-16$$

Add 5 to both sides.

$$-2y>-16+5$$

Add -16 and 5 to get -11.

$$-2y>-11$$

Divide both sides by -2. Since -2 is negative, the inequality direction is changed.

$$y<\frac{-11}{-2}$$

Fraction \frac{-11}{-2} can be simplified to \frac{11}{2} by removing the negative sign from both the numerator and the denominator.

$$y<\frac{11}{2}$$