Solve 4(4y+8)geq7y+14

$$4 ( 4 y + 8 ) \geq 7 y + 14$$

Solve for y

$$y\geq -2$$

Solution Steps

Use the distributive property to multiply 4 by 4y+8.

$$16y+32\geq 7y+14$$

Subtract 7y from both sides.

$$16y+32-7y\geq 14$$

Combine 16y and -7y to get 9y.

$$9y+32\geq 14$$

Subtract 32 from both sides.

$$9y\geq 14-32$$

Subtract 32 from 14 to get -18.

$$9y\geq -18$$

Divide both sides by 9. Since 9 is positive, the inequality direction remains the same.

$$y\geq \frac{-18}{9}$$

Divide -18 by 9 to get -2.

$$y\geq -2$$