Solve 500+(x-40)=2(y+10)

$$500 + ( x - 40 ) = 2 ( y + 10 )$$

Solve for x

$$x=2\left(y-220\right)$$

Solution Steps

Subtract 40 from 500 to get 460.

$$460+x=2\left(y+10\right)$$

Use the distributive property to multiply 2 by y+10.

$$460+x=2y+20$$

Subtract 460 from both sides.

$$x=2y+20-460$$

Subtract 460 from 20 to get -440.

$$x=2y-440$$

Solve for y

$$y=\frac{x+440}{2}$$

Steps for Solving Linear Equation

Subtract 40 from 500 to get 460.

$$460+x=2\left(y+10\right)$$

Use the distributive property to multiply 2 by y+10.

$$460+x=2y+20$$

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

$$2y+20=460+x$$

Subtract 20 from both sides.

$$2y=460+x-20$$

Subtract 20 from 460 to get 440.

$$2y=440+x$$

The equation is in standard form.

$$2y=x+440$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{x+440}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{x+440}{2}$$

Divide 440+x by 2.

$$y=\frac{x}{2}+220$$