
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: Polynomials $M=x^{2}+xy+2y-2$, $N=2x^{2}-2xy+x-4$.  
$(1)$ Simplify $2M-N$;  
$(2)$ When $x=-2$, $y=-4$, the value of $2M-N$ is ______;  
$(3)$ If the value of $2M-N$ is independent of $x$, find the value of $y$.

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