Solve 2y-1<6y-4

$$2 y - 1 < 6 y - 4$$

Solve for y

$$y>\frac{3}{4}$$

Solution Steps

Subtract 6y from both sides.

$$2y-1-6y<-4$$

Combine 2y and -6y to get -4y.

$$-4y-1<-4$$

Add 1 to both sides.

$$-4y<-4+1$$

Add -4 and 1 to get -3.

$$-4y<-3$$

Divide both sides by -4. Since -4 is negative, the inequality direction is changed.

$$y>\frac{-3}{-4}$$

Fraction \frac{-3}{-4} can be simplified to \frac{3}{4} by removing the negative sign from both the numerator and the denominator.

$$y>\frac{3}{4}$$