Solve y^2=4(x-y)

$${ y }^{ 2 } =4(x-y)$$

Solve for x

$$x=\frac{y\left(y+4\right)}{4}$$

Steps for Solving Linear Equation

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

$$y^{2}=4x-4y$$

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

$$4x-4y=y^{2}$$

Add 4y to both sides.

$$4x=y^{2}+4y$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{y\left(y+4\right)}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{y\left(y+4\right)}{4}$$

Divide y\left(4+y\right) by 4.

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

Solve for y (complex solution)

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

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

Solve for y

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

$$y=-2\sqrt{x+1}-2\text{, }x\geq -1$$