Solve 2(6y-4)geq9(2y+5)

$$2 ( 6 y - 4 ) \geq 9 ( 2 y + 5 )$$

Solve for y

$$y\leq -\frac{53}{6}$$

Solution Steps

Use the distributive property to multiply 2 by 6y-4.

$$12y-8\geq 9\left(2y+5\right)$$

Use the distributive property to multiply 9 by 2y+5.

$$12y-8\geq 18y+45$$

Subtract 18y from both sides.

$$12y-8-18y\geq 45$$

Combine 12y and -18y to get -6y.

$$-6y-8\geq 45$$

Add 8 to both sides.

$$-6y\geq 45+8$$

Add 45 and 8 to get 53.

$$-6y\geq 53$$

Divide both sides by -6. Since -6 is negative, the inequality direction is changed.

$$y\leq -\frac{53}{6}$$