Billy Stanlake and Andrew Tye picked up three wickets each for Australia.
Pakistan dismantled the Australian batting in the first T20 global in the United Arab Emirates (UAE) after spinner Imad Wasim got his team off to a thrilling start while defending the mediocre score of 155.
Australia's bowlers earlier held up their end of the bargain to restrict the world's No.1-ranked T20 side to 8-155 from 20 overs.
The hosts will head into the series-opener as favorites after clinching the preceding two-Test series 1-0. Wasim dismantled Australia's top order with his left-arm spin in his first three overs to dismiss the visitors for 89 in 16.5 overs.
"I had the responsibility to get us off to a good start and set up the chase", Finch said.
While talking about the tragic defeat, Finch said "That Powerplay was horrific...it was like a vehicle crash in slow motion", and added, "Opening the batting, it's my responsibility to get us off to a good start and set up the chase there".
By the 9 over, Imad had bowled his four-over quota and returned excellent figures of 3-20. Australia went with the same line-up that beat the UAE on Monday, which meant there was no place for Mitchell Marsh in the starting XI, while Mitchell Starc wasn't fit enough.
The second Twenty20 worldwide will be played on Friday in Dubai.
During the run-chase, the Australian batsmen could not gain the momentum they needed as they kept losing wickets at regular wickets. "I think we were a little bit one-dimensional while batting, but that's a learning experience and I would say Pakistan have got a lot of variety in their bowling".
The innings was Australia's joint third-lowest score in T20Is (also against Pakistan, in 2012), with their worst performance being the 79 their power-packed batting line-up scraped together against England in 2005 in what was only the second T20I ever played.