
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
Find the value of $y$ for a given $x$, where
\[ y = \sqrt{x^2 + 6x + 9} + \sqrt{x^2 - 6x + 9} \]
A) $|x| + 6$
B) $|x-3| + |x+3|$
C) $x^2 + 6$
D) $2x$

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