
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
The point $Q(x, y)$ in the $xy$-plane is first rotated clockwise by $45^\circ$ around the point $(2, 3)$, then scaled by a factor of 2 with respect to the origin, and finally reflected about the line $y = x$. If the image of $Q$ after these transformations is at $(14, 2)$, what is $y - x$?
A) 5.87 
B) 6.66 
C) 7.45 
D) 8.48

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