Solve y=4+4/x/-frac{2{x}-2}

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

Solve for y

$$y=-2$$

$$x\neq 0\text{ and }x\neq -1$$

Steps for Solving Linear Equation

To add or subtract expressions, expand them to make their denominators the same. Multiply 4 times \frac{x}{x}.

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

Since \frac{4x}{x} and \frac{4}{x} have the same denominator, add them by adding their numerators.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply 2 times \frac{x}{x}.

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

Since -\frac{2}{x} and \frac{2x}{x} have the same denominator, subtract them by subtracting their numerators.

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

Divide \frac{4x+4}{x} by \frac{-2-2x}{x} by multiplying \frac{4x+4}{x} by the reciprocal of \frac{-2-2x}{x}.

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

Cancel out x in both numerator and denominator.

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

Factor the expressions that are not already factored in \frac{4x+4}{-2x-2}.

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

Extract the negative sign in 1+x.

$$y=\frac{-4\left(-x-1\right)}{2\left(-x-1\right)}$$

Cancel out 2\left(-x-1\right) in both numerator and denominator.

$$y=-2$$

Solve for x (complex solution)

$$x\in \mathrm{C}\setminus 0,-1$$

$$y=-2$$

Solve for x

$$x\in \mathrm{R}\setminus 0,-1$$

$$y=-2$$