
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
Simplify the expression \( (y-1)x^{-1} - y \).
A) \( \frac{y-1}{x} \)
B) \( \frac{1-y}{x} \)
C) \( -\frac{yx+y-1}{x} \)
D) \( -\frac{yx-y+1}{x} \)
E) \( \frac{x-y}{x^2} \)

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