To solve the proportion $\frac{y}{9} = \frac{44}{54}$, we can use cross-multiplication. This means we multiply the numerator of one side by the denominator of the other side:

$y \times 54 = 9 \times 44$

Now, solving for $y$:

$54y = 396$

Next, divide both sides by 54:

$y = \frac{396}{54}$

Simplifying the fraction:

$y = 7.33 \quad (\text{rounded to two decimal places})$

So, $y = 7.33$.

Would you like further details on how the cross-multiplication method works, or have any other questions?

Here are some related questions:

1. How do you simplify fractions in algebra?
2. What is the significance of proportions in real-world applications?
3. How do you solve for variables in other algebraic equations?
4. Can you explain other methods for solving proportions?
5. How can you check your answer once you have solved the proportion?

Tip: Always check if the fractions can be simplified before performing cross-multiplication.