
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 \( x \) and \( y \) be real numbers that satisfy the following system of equations:
\[ 
\left\{\begin{array}{l} 
(x-1)^{3} + 2015(x-1) = -1, \\ 
(y-1)^{3} + 2015(y-1) = 1 
\end{array}\right. 
\]
Then find the value of \( x + y \).

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