Solve 3y-3<5y-4

$$3 y - 3 < 5 y - 4$$

Solve for y

$$y>\frac{1}{2}$$

Solution Steps

Subtract 5y from both sides.

$$3y-3-5y<-4$$

Combine 3y and -5y to get -2y.

$$-2y-3<-4$$

Add 3 to both sides.

$$-2y<-4+3$$

Add -4 and 3 to get -1.

$$-2y<-1$$

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

$$y>\frac{-1}{-2}$$

Fraction \frac{-1}{-2} can be simplified to \frac{1}{2} by removing the negative sign from both the numerator and the denominator.

$$y>\frac{1}{2}$$