
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
Let a binary operation $\oplus$ on ordered pairs of integers be defined by $(a,b)\oplus (c,d) = (a+d, b-c)$. If $(2,5) \oplus (1,1)$ and $(x,y) \oplus (2,0)$ yield identical pairs, find the value of $y$.
A) 2
B) 4
C) 6
D) 8
E) 10

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