Solve 4y+30left(20-yright)leq680

$$4y+30 \left( 20-y \right) \leq 680$$

Solve for y

$$y\geq -\frac{40}{13}$$

Solution Steps

Use the distributive property to multiply 30 by 20-y.

$$4y+600-30y\leq 680$$

Combine 4y and -30y to get -26y.

$$-26y+600\leq 680$$

Subtract 600 from both sides.

$$-26y\leq 680-600$$

Subtract 600 from 680 to get 80.

$$-26y\leq 80$$

Divide both sides by -26. Since -26 is negative, the inequality direction is changed.

$$y\geq \frac{80}{-26}$$

Reduce the fraction \frac{80}{-26} to lowest terms by extracting and canceling out 2.

$$y\geq -\frac{40}{13}$$