
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
Three points \( A(x, 5), B(-2, y), C(1,1) \) lie on the same straight line and satisfy \( |BC| = 2|AC| \). Find \( x+y \).

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