
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
$(1)$ Simplify first, then find the value: $\left(a-b\right)^{2}-2a\left(a+3b\right)+\left(a+2b\right)\left(a-2b\right)$, where $a=1$, $b=-3$;<br/>$(2)$ Given $x^{2}-4x+y^{2}+2y+5=0$, find the value of $x+y$.

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