Solve -26+5(5-y)geq-2(y+8)

$$- 26 + 5 ( 5 - y ) \geq - 2 ( y + 8 )$$

Solve for y

$$y\leq 5$$

Solution Steps

Use the distributive property to multiply 5 by 5-y.

$$-26+25-5y\geq -2\left(y+8\right)$$

Add -26 and 25 to get -1.

$$-1-5y\geq -2\left(y+8\right)$$

Use the distributive property to multiply -2 by y+8.

$$-1-5y\geq -2y-16$$

Add 2y to both sides.

$$-1-5y+2y\geq -16$$

Combine -5y and 2y to get -3y.

$$-1-3y\geq -16$$

Add 1 to both sides.

$$-3y\geq -16+1$$

Add -16 and 1 to get -15.

$$-3y\geq -15$$

Divide both sides by -3. Since -3 is negative, the inequality direction is changed.

$$y\leq \frac{-15}{-3}$$

Divide -15 by -3 to get 5.

$$y\leq 5$$