Write in Standard Form y-3=5(4-x)

$y - 3 = 5 (4 - x)$

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

Simplify the right side.

Simplify $5 (4 - x)$ .

Apply the distributive property.

$y - 3 = 5 \cdot 4 + 5 (- x)$

Multiply.

Multiply $5$ by $4$ .

$y - 3 = 20 + 5 (- x)$

Multiply $- 1$ by $5$ .

$y - 3 = 20 - 5 x$

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

Add $5 x$ to both sides of the equation.

$y - 3 + 5 x = 20$

Move $- 3$ .

$y + 5 x - 3 = 20$

Reorder $y$ and $5 x$ .

$5 x + y - 3 = 20$

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

Add $3$ to both sides of the equation.

$5 x + y = 20 + 3$

Add $20$ and $3$ .

$5 x + y = 23$