
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 algebraic expressions $A=2m^{2}+3my+2y-1$ and $B=m^{2}-my$. Find:<br/>
$(1)$ Simplify $3A-2\left(A+B\right)$.<br/>
$(2)$ If $\left(m-1\right)^{2}+|y+2|=0$, find the value of $3A-2\left(A+B\right)$.<br/>
$(3)$ If the value of $3A-2\left(A+B\right)$ is independent of $y$, find the value of $m$.

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