Solve y+2+3=x+6+2y+3

$$y + 2 + 3 = x + 6 + 2 y + 3$$

Solve for x

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

Solution Steps

Add 2 and 3 to get 5.

$$y+5=x+6+2y+3$$

Add 6 and 3 to get 9.

$$y+5=x+9+2y$$

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

$$x+9+2y=y+5$$

Subtract 9 from both sides.

$$x+2y=y+5-9$$

Subtract 9 from 5 to get -4.

$$x+2y=y-4$$

Subtract 2y from both sides.

$$x=y-4-2y$$

Combine y and -2y to get -y.

$$x=-y-4$$

Solve for y

$$y=-x-4$$

Steps for Solving Linear Equation

Add 2 and 3 to get 5.

$$y+5=x+6+2y+3$$

Add 6 and 3 to get 9.

$$y+5=x+9+2y$$

Subtract 2y from both sides.

$$y+5-2y=x+9$$

Combine y and -2y to get -y.

$$-y+5=x+9$$

Subtract 5 from both sides.

$$-y=x+9-5$$

Subtract 5 from 9 to get 4.

$$-y=x+4$$

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{x+4}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{x+4}{-1}$$

Divide x+4 by -1.

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