Write in Standard Form y-4=-2(x+7)

$y - 4 = - 2 (x + 7)$

Step 1

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

Step 2

Simplify the right side.

Simplify $- 2 (x + 7)$ .

Apply the distributive property.

$y - 4 = - 2 x - 2 \cdot 7$

Multiply $- 2$ by $7$ .

$y - 4 = - 2 x - 14$

Step 3

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

Add $2 x$ to both sides of the equation.

$y - 4 + 2 x = - 14$

Move $- 4$ .

$y + 2 x - 4 = - 14$

Reorder $y$ and $2 x$ .

$2 x + y - 4 = - 14$

Step 4

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

Add $4$ to both sides of the equation.

$2 x + y = - 14 + 4$

Add $- 14$ and $4$ .

$2 x + y = - 10$

Step 5