Solve 2-7y=3x-2

$$2 - 7 y = 3 x - 2$$

Solve for x

$$x=\frac{4-7y}{3}$$

Steps for Solving Linear Equation

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

$$3x-2=2-7y$$

Add 2 to both sides.

$$3x=2-7y+2$$

Add 2 and 2 to get 4.

$$3x=4-7y$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{4-7y}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{4-7y}{3}$$

Solve for y

$$y=\frac{4-3x}{7}$$

Steps for Solving Linear Equation

Subtract 2 from both sides.

$$-7y=3x-2-2$$

Subtract 2 from -2 to get -4.

$$-7y=3x-4$$

Divide both sides by -7.

$$\frac{-7y}{-7}=\frac{3x-4}{-7}$$

Dividing by -7 undoes the multiplication by -7.

$$y=\frac{3x-4}{-7}$$

Divide 3x-4 by -7.

$$y=\frac{4-3x}{7}$$