Solve y+3=6(x-4)

$$y + 3 = 6 ( x - 4 )$$

Solve for x

$$x=\frac{y+27}{6}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x-4.

$$y+3=6x-24$$

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

$$6x-24=y+3$$

Add 24 to both sides.

$$6x=y+3+24$$

Add 3 and 24 to get 27.

$$6x=y+27$$

Divide both sides by 6.

$$\frac{6x}{6}=\frac{y+27}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$x=\frac{y+27}{6}$$

Divide y+27 by 6.

$$x=\frac{y}{6}+\frac{9}{2}$$

Solve for y

$$y=6x-27$$

Solution Steps

Use the distributive property to multiply 6 by x-4.

$$y+3=6x-24$$

Subtract 3 from both sides.

$$y=6x-24-3$$

Subtract 3 from -24 to get -27.

$$y=6x-27$$