Solve y=2x+2x-1/2x+2x+1

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

Solve for x

$$x=-\frac{y+1}{4\left(y-1\right)}$$

$$y\neq 1$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{1}{4} since division by zero is not defined. Multiply both sides of the equation by 4x+1.

$$y\left(4x+1\right)=2x+2x-1$$

Use the distributive property to multiply y by 4x+1.

$$4yx+y=2x+2x-1$$

Combine 2x and 2x to get 4x.

$$4yx+y=4x-1$$

Subtract 4x from both sides.

$$4yx+y-4x=-1$$

Subtract y from both sides.

$$4yx-4x=-1-y$$

Combine all terms containing x.

$$\left(4y-4\right)x=-1-y$$

The equation is in standard form.

$$\left(4y-4\right)x=-y-1$$

Divide both sides by 4y-4.

$$\frac{\left(4y-4\right)x}{4y-4}=\frac{-y-1}{4y-4}$$

Dividing by 4y-4 undoes the multiplication by 4y-4.

$$x=\frac{-y-1}{4y-4}$$

Divide -1-y by 4y-4.

$$x=-\frac{y+1}{4\left(y-1\right)}$$

Variable x cannot be equal to -\frac{1}{4}.

$$x=-\frac{y+1}{4\left(y-1\right)}\text{, }x\neq -\frac{1}{4}$$

Solve for y

$$y=-\frac{1-4x}{4x+1}$$

$$x\neq -\frac{1}{4}$$