
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
If \( x + |x| + y = 5 \) and \( x + |y| - y = 6 \), what is the value of the sum \( x + y \)?
(a) -1
(b) 11
(c) \( \frac{9}{5} \)
(d) 1
(e) -11

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