
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 that $x$ and $y$ are nonzero real numbers such that $\frac{4x+y}{x-4y}=-3$. What is the value of $\frac{x+4y}{4x-y}$?
A) $\frac{11}{19}$
B) $\frac{39}{35}$
C) $\frac{39}{37}$
D) $\frac{40}{38}$
E) $\frac{50}{37}$

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