
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
For all real numbers \( x \) and \( y \), define the operation \( \diamond \) such that \( x \diamond 0 = x \), \( x \diamond y = y \diamond x \), and \( (x + 2) \diamond y = (x \diamond y) + y + 2 \). What is the value of \( 7 \diamond 3 \)?

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