
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 $A=3x^{2}-x+2y-4xy$, $B=x^{2}-2x-y+xy-5$.

$(1)$ Find $A-3B$.

$(2)$ If $(x+y-\frac{4}{5})^{2}+|xy+1|=0$, find the value of $A-3B$.

$(3)$ If the value of $A-3B$ is independent of $y$, find the value of $x$.

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