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My jacket is cut differently from yours.
Literal
I [of-の] jacket [topic-は] your one [with-と] tailoring-way [subject-が] differs.
仕立て方 ('way of tailoring') uses the ~方 suffix meaning 'way of [verb]ing' — productive with any verb masu-stem. The comparison is a standard 'X は Y と 違う' pattern: 'X differs from Y.' 君の is a noun-drop construction — 'yours' (jacket elided).