
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
The mean, median, and unique mode of the set consisting of the numbers 2, 3, 4, 5, 5, 6, and $y$ are all equal. What is the value of $y$?
- **A)** $4$
- **B)** $5$
- **C)** $6$
- **D)** $10$
- **E)** $11$

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