Texas was trailing 3-1 in the fourth when Adrian Beltre singled with one out and Young drove him in with a three-bagger into the left-center field gap.
Ian Kinsler contributed a first-inning solo homer for American League West-leading Texas, which evened its three-game series.
Darvish (10-4) notched his third win in three starts, allowing four runs on four hits.
Drew Smyly (2-3) was tagged for six runs on eight hits over 4 2/3 innings for the Tigers.
Detroit's Prince Fielder drove in four runs with a solo homer, a two-run double and an RBI groundout.
UPI horse racing weekend preview
Bo Jackson: I can't help Jameis Winston anymore