Bill will pay the ransom because he loves his wife and children.
Since “he” refers to “Bill”, the argument form is alpha (a is X because a is Y): “Bill (a) will pay the ransom (X) because he (a) loves his wife and children (Y)”.
Both the conclusion and the premise can be classified as statements of fact (F), so the argument substance is FF: “Bill will pay the ransom (F) because he loves his wife and children (F)”.
The keyword MOTIVE describes the relationship between predicates Y and X. The argument lever can thus be formulated as “Loving your wife and children (Y) is a MOTIVE for paying the ransom (X)”.
Other examples
Notes
PERIODIC TABLE OF ARGUMENTS 