Complex sentence: Moog was given the starting job in the playoffs, and helped lead the Oilers to their first Stanley Cup Finals, though they were swept by the New York Islanders, who captured their fourth straight Stanley Cup.
Split into simpler sentences: Moog was given the nod in the playoffs, where he backstopped the Oilers to their first Stanley Cup Finals. Though they were swept by the New York Islanders, who captured their fourth straight Stanley Cup.