Solve y-2=4(x+1)

$$y - 2 = 4 ( x + 1 )$$

Solve for x

$$x=\frac{y-6}{4}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x+1.

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

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

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

Subtract 4 from both sides.

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

Subtract 4 from -2 to get -6.

$$4x=y-6$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{y-6}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{y-6}{4}$$

Divide y-6 by 4.

$$x=\frac{y}{4}-\frac{3}{2}$$

Solve for y

$$y=4x+6$$

Solution Steps

Use the distributive property to multiply 4 by x+1.

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

Add 2 to both sides.

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

Add 4 and 2 to get 6.

$$y=4x+6$$