Solve y=4(x-1)

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

Solve for x

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

Steps for Solving Linear Equation

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

$$y=4x-4$$

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

$$4x-4=y$$

Add 4 to both sides.

$$4x=y+4$$

Divide both sides by 4.

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

Dividing by 4 undoes the multiplication by 4.

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

Divide y+4 by 4.

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

Solve for y

$$y=4\left(x-1\right)$$

Solution Steps

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

$$y=4x-4$$