The given equation is:

\[
xy - 4y = 4
\]

To solve this equation, we can factor out \( y \) from the left-hand side.

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

Now, solve for \( y \) by dividing both sides of the equation by \( (x - 4) \):

\[
y = \frac{4}{x - 4}
\]

Thus, the solution for \( y \) in terms of \( x \) is:

\[
y = \frac{4}{x - 4}
\]

Would you like further details or explanations? Here are 5 related questions:

1. How can we find the values of \( y \) for specific values of \( x \)?
2. What happens when \( x = 4 \), and why does the equation break down in that case?
3. How can this equation be represented graphically?
4. Can we solve for \( x \) in terms of \( y \) using the same equation?
5. How can we interpret this equation in terms of real-world problems?

**Tip:** Always check for values of variables that may cause division by zero, as they are typically undefined in equations.

Learn how to solve the linear equation xy - 4y = 4 by factoring and isolating y. This solution explains key algebraic concepts and addresses why the equation is undefined for x = 4. Ideal for students in Grades 8-10.

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