
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
For all non-zero real numbers $x$ and $y$ such that \(x - y = \frac{x}{y}\), find the value of \(\frac{1}{x} - \frac{1}{y}\).
**A)** \(\frac{1}{y^2}\)
**B)** \(-\frac{1}{y^2}\)
**C)** \(\frac{y-1}{y^2}\)
**D)** \(0\)

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