Solve -y-3-4yleq5y+2

$$-y-3-4y \leq 5y+2$$

Solve for y

$$y\geq -\frac{1}{2}$$

Solution Steps

Subtract 5y from both sides.

$$-y-3-4y-5y\leq 2$$

Combine -4y and -5y to get -9y.

$$-y-3-9y\leq 2$$

Add 3 to both sides.

$$-y-9y\leq 2+3$$

Add 2 and 3 to get 5.

$$-y-9y\leq 5$$

Combine -y and -9y to get -10y.

$$-10y\leq 5$$

Divide both sides by -10. Since -10 is negative, the inequality direction is changed.

$$y\geq \frac{5}{-10}$$

Reduce the fraction \frac{5}{-10} to lowest terms by extracting and canceling out 5.

$$y\geq -\frac{1}{2}$$