Solve y+1=4(x-1)

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

Solve for x

$$x=\frac{y+5}{4}$$

Steps for Solving Linear Equation

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

$$y+1=4x-4$$

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

$$4x-4=y+1$$

Add 4 to both sides.

$$4x=y+1+4$$

Add 1 and 4 to get 5.

$$4x=y+5$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{y+5}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{y+5}{4}$$

Solve for y

$$y=4x-5$$

Solution Steps

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

$$y+1=4x-4$$

Subtract 1 from both sides.

$$y=4x-4-1$$

Subtract 1 from -4 to get -5.

$$y=4x-5$$