
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 real numbers $a$ and $b$, a new operation "$\otimes$" is defined as: $a\otimes b=2a+b$. For example, $3\otimes 4=2\times 3+4=10$. If $x\otimes \left(-y\right)=2$ and $\left(2y\right)\otimes x=1$, then the value of $x+y$ is ______.

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