Solve 4y+5(100-y)geq468

$$4 y + 5 ( 100 - y ) \geq 468$$

Solve for y

$$y\leq 32$$

Solution Steps

Use the distributive property to multiply 5 by 100-y.

$$4y+500-5y\geq 468$$

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

$$-y+500\geq 468$$

Subtract 500 from both sides.

$$-y\geq 468-500$$

Subtract 500 from 468 to get -32.

$$-y\geq -32$$

Divide both sides by -1. Since -1 is negative, the inequality direction is changed.

$$y\leq \frac{-32}{-1}$$

Fraction \frac{-32}{-1} can be simplified to 32 by removing the negative sign from both the numerator and the denominator.

$$y\leq 32$$