
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
Simplify and calculate:<br/>$(1)$ Given $A=4x^{2}-4xy+y^{2}$ and $B=x^{2}+xy-5y^{2}$, find $2B-A$.<br/>$(2)$ Given the polynomial $M=(2x^{2}+3xy+2y)-2(x^{2}+x+yx+1)$. If the polynomial $M$ is independent of the variable $x$, find the value of $y$.

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