Solve 4x+4/1-x=3y

$$\frac { 4 x + 4 } { 1 - x } = 3 y$$

Solve for x

$$x=-\frac{4-3y}{3y+4}$$

$$y\neq -\frac{4}{3}$$

Steps for Solving Linear Equation

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

$$4x+4=3y\left(-x+1\right)$$

Use the distributive property to multiply 3y by -x+1.

$$4x+4=-3yx+3y$$

Add 3yx to both sides.

$$4x+4+3yx=3y$$

Subtract 4 from both sides.

$$4x+3yx=3y-4$$

Combine all terms containing x.

$$\left(4+3y\right)x=3y-4$$

The equation is in standard form.

$$\left(3y+4\right)x=3y-4$$

Divide both sides by 3y+4.

$$\frac{\left(3y+4\right)x}{3y+4}=\frac{3y-4}{3y+4}$$

Dividing by 3y+4 undoes the multiplication by 3y+4.

$$x=\frac{3y-4}{3y+4}$$

Variable x cannot be equal to 1.

$$x=\frac{3y-4}{3y+4}\text{, }x\neq 1$$

Solve for y

$$y=-\frac{4\left(x+1\right)}{3\left(x-1\right)}$$

$$x\neq 1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by -x+1.

$$4x+4=3y\left(-x+1\right)$$

Use the distributive property to multiply 3y by -x+1.

$$4x+4=-3yx+3y$$

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

$$-3yx+3y=4x+4$$

Combine all terms containing y.

$$\left(-3x+3\right)y=4x+4$$

The equation is in standard form.

$$\left(3-3x\right)y=4x+4$$

Divide both sides by -3x+3.

$$\frac{\left(3-3x\right)y}{3-3x}=\frac{4x+4}{3-3x}$$

Dividing by -3x+3 undoes the multiplication by -3x+3.

$$y=\frac{4x+4}{3-3x}$$

Divide 4+4x by -3x+3.

$$y=\frac{4\left(x+1\right)}{3\left(1-x\right)}$$