Solve y-3/4-1<y/2

$$\frac{ y-3 }{ 4 } -1 < \frac{ y }{ 2 }$$

Solve for y

$$y>-7$$

Solution Steps

Multiply both sides of the equation by 4, the least common multiple of 4,2. Since 4 is positive, the inequality direction remains the same.

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

Subtract 4 from -3 to get -7.

$$y-7<2y$$

Subtract 2y from both sides.

$$y-7-2y<0$$

Combine y and -2y to get -y.

$$-y-7<0$$

Add 7 to both sides. Anything plus zero gives itself.

$$-y<7$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$y>-7$$