I made each transition in five steps:
SOFT
SORT
PORT
PART
HART
HARD
CARD
CARE
CASE
EASE
EASY
Othre people found alternative solutions with the same number of steps:
SOFT SOFT
SORT SORT
TORT FORT
TART FART
HART HART
HARD HARD HARD HARD HARD HARD HARD HARD
HARE HARE BARD CARD HART HART HART HART
CARE BARE BARE CART CART FART MART PART
CASE BASE BASE CAST CAST FAST MAST PAST
EASE EASE EASE EAST EAST EAST EAST EAST
EASY EASY EASY EASY EASY EASY EASY EASY
And, if you don't mind more obscure words:
SOFT SOFT SOFT
SORT SORT SORT
WORT WORT WORT
WART WART WORD
HART WARD WARD
HARD HARD HARD
HART
HAST
EAST
EASY
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