We are given:

• $x = 52y$
• $y = 10$

First, substitute $y = 10$ into the equation for $x$:

$x = 52 \times 10 = 520$

Now, substitute $x = 520$ into the expression $4x + 4$:

$4x + 4 = 4 \times 520 + 4 = 2080 + 4 = 2084$

Thus, the value of $4x + 4$ is $\boxed{2084}$.

Would you like more details or have any questions?

Here are 5 related questions to explore further:

1. What would happen if $y$ were a different value?
2. How does changing the coefficient of $y$ affect $x$?
3. What is the result of $4x + 4$ when $x = y$?
4. How do expressions like $4x + 4$ simplify when expressed in terms of $y$?
5. What is the general form of $4x + 4$ if $x = ay$, where $a$ is a constant?

Tip: Substitution is a common technique in algebra used to simplify expressions and solve equations efficiently!