Solve y+6=1/2left(x+6right)

$$y+6 = \frac{ 1 }{ 2 } \left( x+6 \right)$$

Solve for x

$$x=2\left(y+3\right)$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2} by x+6.

$$y+6=\frac{1}{2}x+3$$

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

$$\frac{1}{2}x+3=y+6$$

Subtract 3 from both sides.

$$\frac{1}{2}x=y+6-3$$

Subtract 3 from 6 to get 3.

$$\frac{1}{2}x=y+3$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{y+3}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$x=\frac{y+3}{\frac{1}{2}}$$

Divide y+3 by \frac{1}{2} by multiplying y+3 by the reciprocal of \frac{1}{2}.

$$x=2y+6$$

Solve for y

$$y=\frac{x-6}{2}$$

Solution Steps

Use the distributive property to multiply \frac{1}{2} by x+6.

$$y+6=\frac{1}{2}x+3$$

Subtract 6 from both sides.

$$y=\frac{1}{2}x+3-6$$

Subtract 6 from 3 to get -3.

$$y=\frac{1}{2}x-3$$