Complex sentence: Hoffman was soon caught up in desegregation cases arising from Virginia's (or the Byrd Organization's) policy of Massive Resistance, many of which were appealed by Virginia entities to the Fourth Circuit Court of Appeal and United States Supreme Court.
Split into simpler sentences: Hoffman was soon caught up in desegregation cases arising from Virginia's (or the Byrd Organization's) policy of Massive Resistance. Many of those cases were appealed by the losing Virginia entities to the Fourth Circuit Court of Appeal and United States Supreme Court.