Write in Standard Form y+3=3(x+5)

$y + 3 = 3 (x + 5)$

Step 1

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

Step 2

Simplify the right side.

Simplify $3 (x + 5)$ .

Apply the distributive property.

$y + 3 = 3 x + 3 \cdot 5$

Multiply $3$ by $5$ .

$y + 3 = 3 x + 15$

Step 3

Rewrite the equation.

$3 x + 15 = y + 3$

Step 4

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

Subtract $y$ from both sides of the equation.

$3 x + 15 - y = 3$

Move $15$ .

$3 x - y + 15 = 3$

Step 5

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

Subtract $15$ from both sides of the equation.

$3 x - y = 3 - 15$

Subtract $15$ from $3$ .

$3 x - y = - 12$

Step 6