
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 $y = a + \frac{b}{x}$, where $a$ and $b$ are constants, and if $y = 3$ when $x = -2$, and $y = 7$ when $x = -6$, then determine the value of $a + \frac{b}{3}$.
A) 8
B) 10
C) 12
D) 13
E) 15

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