Solve 3y-6geq5y:6

$$3 y - 6 \geq 5 y : 6$$

Solve for y

$$y\geq \frac{36}{13}$$

Solution Steps

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

$$18y-36\geq 5y$$

Subtract 5y from both sides.

$$18y-36-5y\geq 0$$

Combine 18y and -5y to get 13y.

$$13y-36\geq 0$$

Add 36 to both sides. Anything plus zero gives itself.

$$13y\geq 36$$

Divide both sides by 13. Since 13 is positive, the inequality direction remains the same.

$$y\geq \frac{36}{13}$$