
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
Carla rotated point $A$ $480^\circ$ clockwise about point $B$ and it landed at point $C$. Devon rotated the original point $A$ $y^\circ$ counterclockwise about point $B$ after a $30^\circ$ clockwise rotation, and it also landed at point $C$. If $y<360$, what is the value of $y$?

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