Help simplifying a formula

I have the following formula in column "M" of the attached file

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Time Card Summary - Version2.3.xlsx

The each nested if statement is on a separate line. The formula is entered as an array and is so long because of the number of possible criteria combinations, but I would like to simplify it if possible. Essentially here is the logic:
You can place an "s" in one of three columns
I would like the formula to do x if an "s" is placed in the C column, y if an "s" is found in column F, and z if an "s" is found in column I, and to add either x, y, or z if an s is found in either

There has to be a simpler way to do this.

Thanks in advance

JBeaucaire,

Thanks for your response. I know the formula is complicated, and perhaps its a case of I made my bed and now I have to sleep in it. Thanks for you suggestion on the formula I will play with it and see what happens.