
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
Tracy had a collection of candies, which couldn't be broken into smaller parts. Initially, she consumed $\frac{2}{5}$ of them. Then she gave $\frac{1}{3}$ of the remaining candies to her friend Rachel and another $\frac{1}{6}$ to her friend Monica. She then ate 10 more herself, and from whatever was left, her mom also ate 10 candies. Tracy's brother then took 2 to 6 candies, after which Tracy still had 6 candies left. Determine how many candies Tracy had initially.

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