Question 374237
I'll do the first one to get you started.

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1.   K > (N & P)
2.   S > (X & Y)
3.   S + K                             :. N+Y
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4.   [K > (N & P)] & [S > (X & Y)]              1,2 Conjunction
5.   (N & P) + (X & Y)                          4,3 Constructive Dilemma
6.   [(N & P) + X] & [(N & P) + Y]              5   Distibution
7.   [(N & P) + Y] & [(N & P) + X]              6   Commutation
8.   (N & P) + Y                                7   Simplification
9.   Y + (N & P)                                8   Commutation
10.  (Y + N) & (Y + P)                          9   Distribution
11.  Y + N                                      10  Simplification
12.  N + Y                                      11  Commutation
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