
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 $a+b$ if $y = a + \frac{b}{x}$, and $y = 2$ when $x = -2$, and $y = 3$ when $x = -6$.
A) $\frac{11}{2}$  
B) $7$  
C) $\frac{13}{2}$  
D) $9$  
E) $\frac{15}{2}$

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