Solve 4y+50=500-6j

$$4 y + 50 = 500 - 6 j$$

Solve for j

$$j=-\frac{2y}{3}+75$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$500-6j=4y+50$$

Subtract 500 from both sides.

$$-6j=4y+50-500$$

Subtract 500 from 50 to get -450.

$$-6j=4y-450$$

Divide both sides by -6.

$$\frac{-6j}{-6}=\frac{4y-450}{-6}$$

Dividing by -6 undoes the multiplication by -6.

$$j=\frac{4y-450}{-6}$$

Divide 4y-450 by -6.

$$j=-\frac{2y}{3}+75$$

Solve for y

$$y=\frac{225-3j}{2}$$

Steps for Solving Linear Equation

Subtract 50 from both sides.

$$4y=500-6j-50$$

Subtract 50 from 500 to get 450.

$$4y=450-6j$$

Divide both sides by 4.

$$\frac{4y}{4}=\frac{450-6j}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$y=\frac{450-6j}{4}$$

Divide 450-6j by 4.

$$y=\frac{225-3j}{2}$$