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

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

Step 1

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

Step 2

Simplify the right side.

Simplify $4 (x + 4)$ .

Apply the distributive property.

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

Multiply $4$ by $4$ .

$y - 7 = 4 x + 16$

Step 3

Rewrite the equation.

$4 x + 16 = y - 7$

Step 4

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

Subtract $y$ from both sides of the equation.

$4 x + 16 - y = - 7$

Move $16$ .

$4 x - y + 16 = - 7$

Step 5

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

Subtract $16$ from both sides of the equation.

$4 x - y = - 7 - 16$

Subtract $16$ from $- 7$ .

$4 x - y = - 23$

Step 6