
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
Simplify the following expression in $x$ and $y$: 
\[
3x + 5x^2 - 4y - (6 - 3x - 5x^2 + 2y) - (4y^2 - 8 + 2x^2 - y).
\]
Express your answer in the form $ax^2 + by^2 + cx + dy + e$, where $a$, $b$, $c$, $d$, and $e$ are numbers.

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