
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
Suppose \(x\) and \(y\) are nonzero real numbers such that \(\frac{2x - 3y}{x + 2y} = 3\). What is the value of \(\frac{x - 2y}{2x + 3y}\)?
A) \(\frac{2}{3}\)
B) \(\frac{11}{15}\)
C) \(-\frac{11}{15}\)
D) \(\frac{7}{15}\)

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