Solve 2(x-y)=7y+8

$$2(x-y)=7y+8$$

Solve for x

$$x=\frac{9y}{2}+4$$

Steps for Solving Linear Equation

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

$$2x-2y=7y+8$$

Add 2y to both sides.

$$2x=7y+8+2y$$

Combine 7y and 2y to get 9y.

$$2x=9y+8$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{9y+8}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{9y+8}{2}$$

Divide 9y+8 by 2.

$$x=\frac{9y}{2}+4$$

Solve for y

$$y=\frac{2\left(x-4\right)}{9}$$

Steps for Solving Linear Equation

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

$$2x-2y=7y+8$$

Subtract 7y from both sides.

$$2x-2y-7y=8$$

Combine -2y and -7y to get -9y.

$$2x-9y=8$$

Subtract 2x from both sides.

$$-9y=8-2x$$

Divide both sides by -9.

$$\frac{-9y}{-9}=\frac{8-2x}{-9}$$

Dividing by -9 undoes the multiplication by -9.

$$y=\frac{8-2x}{-9}$$

Divide 8-2x by -9.

$$y=\frac{2x-8}{9}$$