Solve -22y-68geq52(1-y)

$$- 22 y - 68 \geq 52 ( 1 - y )$$

Solve for y

$$y\geq 4$$

Solution Steps

Use the distributive property to multiply 52 by 1-y.

$$-22y-68\geq 52-52y$$

Add 52y to both sides.

$$-22y-68+52y\geq 52$$

Combine -22y and 52y to get 30y.

$$30y-68\geq 52$$

Add 68 to both sides.

$$30y\geq 52+68$$

Add 52 and 68 to get 120.

$$30y\geq 120$$

Divide both sides by 30. Since 30 is positive, the inequality direction remains the same.

$$y\geq \frac{120}{30}$$

Divide 120 by 30 to get 4.

$$y\geq 4$$