In the match, Australia won the toss and opted to field first.
Finch, who missed the opening two games of the series as well as the final two ODIs last month due to a hamstring injury, has returned in place of Travis Head. He rotated the strike well to allow Chris Lynn and Glenn Maxwell to keep finding the boundary. However, the in-form D'Arcy Short and the devastating Chris Lynn choked England with their aggressive approach.
"The Big Show" was caught behind going for another huge shot, having smashed 39 from just 26 balls. Although he finished wicketless, he went for just 18 from his four overs, bowling tight, accurate lines to restrict England's batsmen.
These early blows caused England to pull back on their customary aggression, but the fall of regular wickets meant this policy did not work particularly well either.
Australia defeated England by 5 wickets to record their second win in the T20I triangular series at Bellerive Oval in Hobart on Wednesday.
With legspinner Adam Zampa again overlooked, Stanlake (2-28), Kane Richardson (3-33) and Tye (1-29) did the damage.
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Earlier, Richardson found an ally in Billy Stanlake (2/28) as the duo claimed five wickets between them after England was sent into bat.
Jason Roy - 3/10 - Roy's struggle for consistency continued as he could only make 8 runs at the top of the innings.
Dawid Malan - 3/10 - Malan started okay with 10 from 10 balls, but can count himself slightly unlucky to be dismissed after Warner ran him out with an exceptional bit of fielding.
They limped along to 67 for four at the halfway stage of the innings, Morgan's replacement James Vince chipping in with 24 before losing his off stump to a slower ball from Andrew Tye.
Eoin Morgan's men stumbled to a massively sub-par 137-7 from their 20 overs, with Jos Buttler the only man to provide resistance in Melbourne. Though the skipper Jos Buttler stayed until the end, he could only score 46 off 49 balls. Australia have already made it to the final with three consecutive wins.