Solve y+(380-5y)leq8500*500

$$y + ( 380 - 5 y ) \leq 8500 \times 500$$

Solve for y

$$y\geq -1062405$$

Solution Steps

Combine y and -5y to get -4y.

$$-4y+380\leq 8500\times 500$$

Multiply 8500 and 500 to get 4250000.

$$-4y+380\leq 4250000$$

Subtract 380 from both sides.

$$-4y\leq 4250000-380$$

Subtract 380 from 4250000 to get 4249620.

$$-4y\leq 4249620$$

Divide both sides by -4. Since -4 is negative, the inequality direction is changed.

$$y\geq \frac{4249620}{-4}$$

Divide 4249620 by -4 to get -1062405.

$$y\geq -1062405$$