Solve x+y=y/2

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

Solve for x

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2x+2y=y$$

Subtract 2y from both sides.

$$2x=y-2y$$

Combine y and -2y to get -y.

$$2x=-y$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Solve for y

$$y=-2x$$

Solution Steps

Multiply both sides of the equation by 2.

$$2x+2y=y$$

Subtract y from both sides.

$$2x+2y-y=0$$

Combine 2y and -y to get y.

$$2x+y=0$$

Subtract 2x from both sides. Anything subtracted from zero gives its negation.

$$y=-2x$$