Write in Standard Form y+4=-7(x-1)

$y + 4 = - 7 (x - 1)$

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

Simplify the right side.

Simplify $- 7 (x - 1)$ .

Apply the distributive property.

$y + 4 = - 7 x - 7 \cdot - 1$

Multiply $- 7$ by $- 1$ .

$y + 4 = - 7 x + 7$

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

Add $7 x$ to both sides of the equation.

$y + 4 + 7 x = 7$

Move $4$ .

$y + 7 x + 4 = 7$

Reorder $y$ and $7 x$ .

$7 x + y + 4 = 7$

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

Subtract $4$ from both sides of the equation.

$7 x + y = 7 - 4$

Subtract $4$ from $7$ .

$7 x + y = 3$