Oregon's Mike Moser had 20 points, Young 18 and Dotson 17 in coach Dana Altman's 500th Division I win. Oregon shot 57 percent from the floor.
The Ducks (17-8, 5-8 Pac 12) won back-to-back games for the first time since their 13-0 start ended Jan. 5.
Perris Blackwell led Washington (14-13, 6-8) with 17 points, Andrew Andrews added 15 and Nigel Williams-Goss and Desmond Simmons had 12 apiece.
Oregon quickly erased a three-point halftime deficit as Young capped a 10-0 run with a 3-pointer to make it 46-39 Ducks.
Washington closed within one before Oregon stretched it out to a 58-52 lead on Dotson's tip-in with 13:01 remaining.
The Huskies later scored five straight, with two C.J. Wilcox free throws tying the game at 60 with 9:11 left.
Oregon scored the game's next five points and never trailed again.
The Ducks took a 71-63 lead on Ben Carter's two foul shots with 6:29 left. Washington got no closer than three from there, scoring just one point after Williams-Goss got the Huskies within 73-70 on a lay-in with 2:34 left.
Moser's 20 points are his most in the last nine games.
Washington has now lost five of its last six games since starting 5-3 in Pac-12 play.
Wilcox, who came in averaging 18.8 points per game, was held to nine, his third single-digit total in the last four games.
Oregon took its biggest lead of a tight first half at 24-19 on a Moser 3-pointer with 9:14 left.
Washington answered with a 9-0 run, with Simmons scoring the last four points. Oregon tied the game three times and took a 36-32 with a 6-0 run.
Washington scored the last seven points of the half to lead 39-36.
Wilcox, averaging 18.8 points per game, was held to just two in the first half on 1 of 4 shooting. Blackwell and Simmons picked up the slack with 10 apiece before the break.