Solve y-xy/3=-4+2y/-2

$$\frac { y - x y } { 3 } = - \frac { 4 + 2 y } { - 2 }$$

Solve for x

$$x=-2-\frac{6}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,-2.

$$2\left(y-xy\right)=3\left(4+2y\right)$$

Use the distributive property to multiply 2 by y-xy.

$$2y-2yx=3\left(4+2y\right)$$

Use the distributive property to multiply 3 by 4+2y.

$$2y-2yx=12+6y$$

Subtract 2y from both sides.

$$-2yx=12+6y-2y$$

Combine 6y and -2y to get 4y.

$$-2yx=12+4y$$

The equation is in standard form.

$$\left(-2y\right)x=4y+12$$

Divide both sides by -2y.

$$\frac{\left(-2y\right)x}{-2y}=\frac{4y+12}{-2y}$$

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

$$x=\frac{4y+12}{-2y}$$

Divide 12+4y by -2y.

$$x=-2-\frac{6}{y}$$

Solve for y

$$y=-\frac{6}{x+2}$$

$$x\neq -2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,-2.

$$2\left(y-xy\right)=3\left(4+2y\right)$$

Use the distributive property to multiply 2 by y-xy.

$$2y-2yx=3\left(4+2y\right)$$

Use the distributive property to multiply 3 by 4+2y.

$$2y-2yx=12+6y$$

Subtract 6y from both sides.

$$2y-2yx-6y=12$$

Combine 2y and -6y to get -4y.

$$-4y-2yx=12$$

Combine all terms containing y.

$$\left(-4-2x\right)y=12$$

The equation is in standard form.

$$\left(-2x-4\right)y=12$$

Divide both sides by -4-2x.

$$\frac{\left(-2x-4\right)y}{-2x-4}=\frac{12}{-2x-4}$$

Dividing by -4-2x undoes the multiplication by -4-2x.

$$y=\frac{12}{-2x-4}$$

Divide 12 by -4-2x.

$$y=-\frac{6}{x+2}$$