
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
In a Cartesian coordinate system, for any point $(x, y)$ on the plane, if the following two transformations are defined:
1. $f(x, y) = (y, x)$, for example, $f(2, 3) = (3, 2)$;
2. $g(x, y) = (-x, -y)$, for example, $g(2, 3) = (-2, -3)$.

According to the above transformations, we have $f(g(2, 3)) = f(-2, -3) = (-3, -2)$. What is the value of $g(f(-6, 7))$?

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