Solve y+6=5left(x-4right)

$$y+6 = 5 \left( x-4 \right)$$

Solve for x

$$x=\frac{y+26}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-4.

$$y+6=5x-20$$

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

$$5x-20=y+6$$

Add 20 to both sides.

$$5x=y+6+20$$

Add 6 and 20 to get 26.

$$5x=y+26$$

Divide both sides by 5.

$$\frac{5x}{5}=\frac{y+26}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$x=\frac{y+26}{5}$$

Solve for y

$$y=5x-26$$

Solution Steps

Use the distributive property to multiply 5 by x-4.

$$y+6=5x-20$$

Subtract 6 from both sides.

$$y=5x-20-6$$

Subtract 6 from -20 to get -26.

$$y=5x-26$$