
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]


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Given that $-2a^{2}b^{y+3}$ and $4a^{x}b^{2}$ form a monomial when added together, <br/>$(1)$ $x=$______, $y=$______; <br/>$(2)$ Under the conditions in $(1)$, simplify and evaluate: $2(x^{2}y-3y^{3}+2x)-3(x+x^{2}y-2y^{3})-x$.

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