X(y-3)-y=4

Let's solve the equation step by step.

The equation you've provided seems to be:

\[
X(y-3) - y = 4
\]

Given that you have an equation \( 4x(y-3) - y = 4 \), I will assume you're looking for a solution to that equation.

### Step 1: Simplify the equation
Starting with the first part:

\[
x(y - 3) - y = 4
\]

Rearranging it gives us:

\[
x(y - 3) = y + 4
\]

Now for the second part:

\[
4x(y - 3) - y = 4
\]

Rearranging it gives us:

\[
4x(y - 3) = y + 4
\]

### Step 2: We have two equivalent equations
Both equations simplify to:

1. \( x(y - 3) = y + 4 \)
2. \( 4x(y - 3) = y + 4 \)

### Step 3: Set the equations equal to each other
Since both expressions on the left equal \( y + 4 \), we can set them equal to each other:

\[
x(y - 3) = 4x(y - 3)
\]

### Step 4: Solve the equation
Assuming \( y - 3 \neq 0 \), we can divide both sides by \( y - 3 \):

\[
x = 4x
\]

This simplifies to:

\[
0 = 3x
\]

Thus, we can conclude:

\[
x = 0
\]

### Step 5: Find \( y \)
Now substituting \( x = 0 \) back into one of the original equations:

\[
0(y - 3) - y = 4
\]

Simplifying this gives:

\[
-y = 4 \quad \Rightarrow \quad y = -4
\]

### Final Solution
The solution to the given equations is:

\[
(x, y) = (0, -4)
\]