
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 function \( f(x) \) is defined for all positive values of \( x \). It is given that \( f\left(\frac{4 y + 1}{y + 1}\right) = \frac{1}{y} \) for any \( y > 0 \). Find \( f(3) \).

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