Solve 2(x-y)+30=y

$$2 ( x - y ) + 30 = y$$

Solve for x

$$x=\frac{3\left(y-10\right)}{2}$$

Steps for Solving Linear Equation

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

$$2x-2y+30=y$$

Add 2y to both sides.

$$2x+30=y+2y$$

Combine y and 2y to get 3y.

$$2x+30=3y$$

Subtract 30 from both sides.

$$2x=3y-30$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{3y-30}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{3y-30}{2}$$

Divide -30+3y by 2.

$$x=\frac{3y}{2}-15$$

Solve for y

$$y=\frac{2\left(x+15\right)}{3}$$

Steps for Solving Linear Equation

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

$$2x-2y+30=y$$

Subtract y from both sides.

$$2x-2y+30-y=0$$

Combine -2y and -y to get -3y.

$$2x-3y+30=0$$

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

$$-3y+30=-2x$$

Subtract 30 from both sides.

$$-3y=-2x-30$$

Divide both sides by -3.

$$\frac{-3y}{-3}=\frac{-2x-30}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$y=\frac{-2x-30}{-3}$$

Divide -2x-30 by -3.

$$y=\frac{2x}{3}+10$$