Solve 100y+80(2y+8-y)leq670

$$100y+80(2y+8-y) \leq 670$$

Solve for y

$$y\leq \frac{1}{6}$$

Solution Steps

Combine 2y and -y to get y.

$$100y+80\left(y+8\right)\leq 670$$

Use the distributive property to multiply 80 by y+8.

$$100y+80y+640\leq 670$$

Combine 100y and 80y to get 180y.

$$180y+640\leq 670$$

Subtract 640 from both sides.

$$180y\leq 670-640$$

Subtract 640 from 670 to get 30.

$$180y\leq 30$$

Divide both sides by 180. Since 180 is positive, the inequality direction remains the same.

$$y\leq \frac{30}{180}$$

Reduce the fraction \frac{30}{180} to lowest terms by extracting and canceling out 30.

$$y\leq \frac{1}{6}$$