
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 $A=3x^{2}+2y^{2}-2xy$ and $B=y^{2}-xy+2x^{2}$. Find:<br/>
$(1)$ $2A-3B$.<br/>
$(2)$ If $|2x-3|+\left(y+2\right)^{2}=0$, find the value of $2A-3B$.

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