
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 $A=2x^{2}-x+y-3xy$ and $B=x^{2}-2x-y+xy$. Find:<br/>
$(1)$ Simplify $A-2B$;<br/>
$(2)$ When $x+y=4$ and $xy=-\frac{1}{5}$, find the value of $A-2B$.

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