
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
If $\frac{1}{x} - \frac{2}{y} = \frac{1}{z}$, determine the value of $z$ in terms of $x$ and $y$.
A) $\frac{xy}{y - 2x}$
B) $\frac{xy}{2y - x}$
C) $\frac{y}{x - 2y}$
D) $\frac{2xy}{y - x}$

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