Write in Standard Form 3y-5+4(x-y)=6x

$3 y - 5 + 4 (x - y) = 6 x$

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

Simplify the left side.

Simplify $3 y - 5 + 4 (x - y)$ .

Simplify each term.

Apply the distributive property.

$3 y - 5 + 4 x + 4 (- y) = 6 x$

Multiply $- 1$ by $4$ .

$3 y - 5 + 4 x - 4 y = 6 x$

Subtract $4 y$ from $3 y$ .

$- y - 5 + 4 x = 6 x$

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

Subtract $6 x$ from both sides of the equation.

$- y - 5 + 4 x - 6 x = 0$

Subtract $6 x$ from $4 x$ .

$- y - 5 - 2 x = 0$

Move $- 5$ .

$- y - 2 x - 5 = 0$

Reorder $- y$ and $- 2 x$ .

$- 2 x - y - 5 = 0$

Add $5$ to both sides of the equation.

$- 2 x - y = 5$