Berg struck out Parks Jordan, and the bases were loaded again when he walked Chaz Frank. When Landon Lassiter's fly landed in Brian Carroll's glove, the Bruins' dugout emptied in celebration.
"I have the same approach every game — go there and try to get a pitch you can hit and see what happens," Lassiter said, "and we just fell short."
UCLA has held its opponents to two runs or fewer in 31 of 64 games and is 30-1 in those games.
Watson followed strong starts by Adam Plutko and Nick Vander Tuig with one of his own to help send the Bruins to the finals for the second time, and first since they were swept by South Carolina in 2010.
Emanuel, the ACC player of the year and third-round pick of the Houston Astros, came into the game scuffling in the NCAA tournament. He had a 11.40 ERA over his last five appearances and didn't make it out of the third inning in the Tar Heels' CWS opener against North Carolina State.
The junior left-hander was solid in his 112-pitch outing. One of the two runs against him was unearned.
UCLA opened the scoring when Cody Regis's two-out chopper drove in Gallagher in the second. The Bruins added their unearned run in the sixth. Eric Filia's grounder got past the glove of Carolina first baseman Stubbs, and he scored on Kevin Williams' base hit up the middle.
Valaika produced some big insurance runs in the seventh, hammering the ball into the left-field corner off Trevor Kelley to drive in Carroll and Filia.