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From the table provided, we see that each value of \( y \) matches the corresponding value of \( x \). Specifically:

- When \( x = -18 \), \( y = -18 \)
- When \( x = -12 \), \( y = -12 \)
- When \( x = -6 \), \( y = -6 \)
- When \( x = 0 \), \( y = 0 \)

This indicates a direct relationship where \( y = x \). Therefore, the equation describing this relationship is:

\[
y = x
\]

Would you like a further breakdown of this relationship or have any questions about it?

Here are some related questions for further exploration:
1. What would \( y \) be if \( x = 10 \) using the equation \( y = x \)?
2. How would the equation change if each \( y \)-value were double the \( x \)-value?
3. What is the slope of the line represented by this equation?
4. How can you graph this equation on a coordinate plane?
5. How would the equation change if all \( y \)-values were shifted up by 5?

**Tip:** Recognizing a simple linear relationship in a table of values helps to quickly determine the equation that describes it.

Determine the equation for y based on the table of values provided.

Learn how to determine the equation y = x from a table of values. This problem demonstrates a direct relationship between x and y, showing how linear equations can be identified from data tables. Suitable for middle school students.

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