
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
In this number pyramid, you sum the two numbers next to each other to fill in the block above them. Which numbers fill the blocks labeled '$x$' and '$y$'?
```plaintext
            [   ?   ]
         [   ?   ][   ?   ]
      [   x   ][  15  ][   y   ]
   [    9  ][   6   ][  10  ][   8   ]
```

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