
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 \(f : \mathbb{R} \to \mathbb{R}\) be a function such that
\[
f(xf(y) - y) = xy - f(y)
\] for all \(x, y\).
Find \(f(3)\) if \(f(0) = 0\) and \(f\) is known to be an odd function.

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