
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
Determine the value of $y$ for any real number $x$ given the expression:
\[ y = \sqrt{x^2 + 4x + 4} + \sqrt{x^2 - 6x + 9} \]
A) \( x + 1 \)
B) \( |x+2| - |x-3| \)
C) \( |x+2| + |x-3| \)
D) \( x^2 + 5x + 2 \)

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