Solve 3y-13/12>5+2y/6

$$\frac{ 3y-13 }{ 12 } > \frac{ 5+2y }{ 6 }$$

Solve for y

$$y<-23$$

Solution Steps

Multiply both sides of the equation by 12, the least common multiple of 12,6. Since 12 is positive, the inequality direction remains the same.

$$3y-13>2\left(5+2y\right)$$

Use the distributive property to multiply 2 by 5+2y.

$$3y-13>10+4y$$

Subtract 4y from both sides.

$$3y-13-4y>10$$

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

$$-y-13>10$$

Add 13 to both sides.

$$-y>10+13$$

Add 10 and 13 to get 23.

$$-y>23$$

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

$$y<-23$$