Solve y-8/4-2>y/3

$$\frac { y - 8 } { 4 } - 2 > \frac { y } { 3 }$$

Solve for y

$$y<-48$$

Solution Steps

Multiply both sides of the equation by 12, the least common multiple of 4,3. Since 12 is positive, the inequality direction remains the same.

$$3\left(y-8\right)-24>4y$$

Use the distributive property to multiply 3 by y-8.

$$3y-24-24>4y$$

Subtract 24 from -24 to get -48.

$$3y-48>4y$$

Subtract 4y from both sides.

$$3y-48-4y>0$$

Combine 3y and -4y to get -y.

$$-y-48>0$$

Add 48 to both sides. Anything plus zero gives itself.

$$-y>48$$

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

$$y<-48$$