
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
Given that the sum of the polynomial $x^{2}+ax-y+b$ and the polynomial $bx^{2}-3x+6y-3$ is independent of the value of $x$, find the value of $3(a^{2}-2ab+b^{2})-[4{a}^{2}-2(\frac{1}{2}{a}^{2}+ab-\frac{3}{2}{b}^{2})]$.

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