Write in Standard Form y-8=3(x+1)

$y - 8 = 3 (x + 1)$

Step 1

The standard form of a linear equation is $A x + B y = C$ .

Step 2

Simplify the right side.

Simplify $3 (x + 1)$ .

Apply the distributive property.

$y - 8 = 3 x + 3 \cdot 1$

Multiply $3$ by $1$ .

$y - 8 = 3 x + 3$

Step 3

Rewrite the equation.

$3 x + 3 = y - 8$

Step 4

Move all terms containing variables to the left side of the equation.

Subtract $y$ from both sides of the equation.

$3 x + 3 - y = - 8$

Move $3$ .

$3 x - y + 3 = - 8$

Step 5

Move all terms not containing a variable to the right side of the equation.

Subtract $3$ from both sides of the equation.

$3 x - y = - 8 - 3$

Subtract $3$ from $- 8$ .

$3 x - y = - 11$

Step 6