
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system

You are given a problem where there exist two numbers whose sum is equal to their product. For example, the numbers 2 and 2 satisfy this condition since \(2 + 2 = 2 \times 2 = 4\).

A person mistakenly claimed that these are the only two numbers with such a property. But in fact, for any given number, there exists another number that satisfies this property. For instance, given the number 987654321, there is another number that, when added to it, will have a sum equal to their product.

What is this other number?

Thus, for any arbitrarily given number \( x \), there exists another number \( y \) such that \( x + y = x \times y \). What is the method to find \( y \)?

(Note: Find the pattern or rule to determine \( y \) based on an arbitrary \( x \).)

Present the answer in LaTex format: \boxed{Your answer}
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