Solve -4(y+3)+38geq4(6-y)

$$- 4 ( y + 3 ) + 38 \geq 4 ( 6 - y )$$

Solve for y

$$y\in \mathrm{R}$$

Solution Steps

Use the distributive property to multiply -4 by y+3.

$$-4y-12+38\geq 4\left(6-y\right)$$

Add -12 and 38 to get 26.

$$-4y+26\geq 4\left(6-y\right)$$

Use the distributive property to multiply 4 by 6-y.

$$-4y+26\geq 24-4y$$

Add 4y to both sides.

$$-4y+26+4y\geq 24$$

Combine -4y and 4y to get 0.

$$26\geq 24$$

This is true for any y.

$$y\in \mathrm{R}$$