
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
Let $y$ be the number
\[0.\underbrace{000...000}_{999\text{ zeros}}2,\]
where there are 999 zeros after the decimal and the next digit is 2. Which of the following expressions represents the largest number?
- $4 + y$, 
- $4 - y$, 
- $2 \cdot y$,
- $\frac{4}{y}$,
- $\frac{y}{4}$
A) $4 + y$
B) $4 - y$
C) $2 \cdot y$
D) $\frac{4}{y}$
E) $\frac{y}{4}$

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