
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 that for any point $P(a,b)$ inside $\triangle ABC$ corresponds to point $P_{1}(a+2,b-6)$ after a translation, and point $A$ corresponds to point $A_{1}(4,-3)$ after this translation, find the coordinates of point $A$.

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