
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
Given the real numbers \( x \) and \( y \) that satisfy the conditions:
\[
\begin{cases}
x - y + 1 \geq 0, \\
y + 1 \geq 0, \\
x + y + 1 \leq 0,
\end{cases}
\]
find the maximum value of \( 2x - y \).

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