
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
Given point P(-4, -2, 3), find the coordinates of the points that are symmetrical to P with respect to the xoy coordinate plane and with respect to the y-axis. If the coordinates of these symmetrical points are (a, b, c) and (e, f, d) respectively, what is the sum of c and e?

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