Let's solve the equation \((479)^2 = 22 \cdot 44 \cdot y\).

### Step 1: Calculate \(479^2\)
\[
479^2 = 479 \times 479 = 229441
\]

### Step 2: Simplify the right-hand side of the equation
\[
22 \cdot 44 \cdot y = 968y
\]

### Step 3: Solve for \(y\)
We have the equation:
\[
229441 = 968y
\]

Solving for \(y\):
\[
y = \frac{229441}{968} = 237
\]

So, the value of \(y\) is 237.

### Summary
\[
479^2 = 229441 \quad \text{and} \quad 22 \cdot 44y = 968y
\]
\[
229441 = 968y \quad \Rightarrow \quad y = \frac{229441}{968} = 237
\]

Would you like further details or have any questions?

### Related Questions
1. What is the prime factorization of 479?
2. How do you solve for \(x\) in the equation \(22x = 229441 - 968y\)?
3. What are the properties of square numbers?
4. How do you verify the solution for \(y\) in the equation \(479^2 = 22 \cdot 44y\)?
5. Can you explain the steps to perform long division for \(229441 \div 968\)?
6. What other methods can be used to solve the equation \(479^2 = 22 \cdot 44y\)?
7. How do you find the greatest common divisor (GCD) of 229441 and 968?
8. How can you express the equation \(479^2 = 22 \cdot 44y\) graphically?

### Tip
Always check your work by substituting the solution back into the original equation to ensure it satisfies the equation.

Learn how to solve the equation (479)^2 = 22 * 44y with a detailed step-by-step solution. This problem involves squaring a number, multiplication, and solving equations. Suitable for high school students and math enthusiasts.

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