
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 the ratio of $3x-2y$ to $2x+y$ is $\frac{5}{4}$, what is the ratio of $y$ to $x$?
A) $\frac{1}{7}$ 
B) $\frac{1}{4}$
C) $\frac{2}{13}$
D) $\frac{4}{25}$
E) $\frac{5}{12}$

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