Solve y=4/x+2-2

$$y= \frac{ 4 }{ x+2 } -2$$

Solve for x

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

$$y\neq -2$$

Steps for Solving Linear Equation

Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.

$$y\left(x+2\right)=4+\left(x+2\right)\left(-2\right)$$

Use the distributive property to multiply y by x+2.

$$yx+2y=4+\left(x+2\right)\left(-2\right)$$

Use the distributive property to multiply x+2 by -2.

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

Subtract 4 from 4 to get 0.

$$yx+2y=-2x$$

Add 2x to both sides.

$$yx+2y+2x=0$$

Subtract 2y from both sides. Anything subtracted from zero gives its negation.

$$yx+2x=-2y$$

Combine all terms containing x.

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

Divide both sides by y+2.

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

Dividing by y+2 undoes the multiplication by y+2.

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

Variable x cannot be equal to -2.

$$x=-\frac{2y}{y+2}\text{, }x\neq -2$$

Solve for y

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

$$x\neq -2$$