
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 $y^{-2} - 2y + 1$.
A) $\frac{y - 2y^3 + 1}{y^2}$
B) $\frac{1 - 2y^3 + y^2}{y^2}$
C) $-2y + 1 + y^2$
D) $\frac{y - 2 + y^3}{y^2}$

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