Solve 4+x=2-y

$$4 + x = 2 - y$$

Solve for x

$$x=-\left(y+2\right)$$

Solution Steps

Subtract 4 from both sides.

$$x=2-y-4$$

Subtract 4 from 2 to get -2.

$$x=-2-y$$

Solve for y

$$y=-x-2$$

Steps for Solving Linear Equation

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

$$2-y=4+x$$

Subtract 2 from both sides.

$$-y=4+x-2$$

Subtract 2 from 4 to get 2.

$$-y=2+x$$

The equation is in standard form.

$$-y=x+2$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{x+2}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{x+2}{-1}$$

Divide 2+x by -1.

$$y=-\left(x+2\right)$$