
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
Let the real numbers \( x \) and \( y \) satisfy the system of equations:
\[ \begin{cases} 
x^{3} - 3x^{2} + 2026x = 2023 \\ 
y^{3} + 6y^{2} + 2035y = -4053 
\end{cases} \]
Find \( x + y \).

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