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suarez is la ligas top scorer with 23 goals in 22 matches
With Barca leading 3-1, Messi nudged the spot-kick forward and to his right for Suarez to run into the area and side-foot in to complete his hat-trick.
Messi opened the scoring with a sublime free-kick before Celta striker John Guidetti drilled in a penalty to level.
After Suarez's second-half treble, Ivan Rakitic and Neymar sealed the rout.
The defending champions still have a game in hand on nearest rivals Atletico Madrid, with Real Madrid four points adrift of Barca in third.
Seven-time Grand Slam winner Venus Williams beat Misaki Doi 6-4 6-2 to win the inaugural Taiwan Open on Sunday.
Top seed Williams, 35, overcame the Japanese player to claim the 49th title of her 21-year professional career.
The American, who exited the Australian Open at the first-round stage in January, did not drop a set during the tournament in Kaohsiung.
Williams broke her second-seeded opponent three times in each set to win the final in one hour and 26 minutes.
Williams' latest victory leaves her seventh on the all-time list of tournament wins in women's singles.
Martina Navratilova leads the way on 167 titles, while Venus' younger sister, world number one Serena Williams, has 69 career tournament victories
Britain's Mark Cavendish won the Tour of Qatar for the second time after finishing second in the final stage
The 30-year-old from the Isle of Man, riding for Team Dimension Data, won by five seconds from Alexander Kristoff.
Norway's Kristoff edged out 2013 winner Cavendish in a sprint finish for the second time in Friday's stage five.
Cavendish won the first of the race's five stages on Monday, had two second-place finishes and rode a superb time trial on Wednesday.
The sprint specialist had a two-second lead over Belgian Greg Van Avermaet going into Friday's final stage, with Katusha star Kristoff nine seconds adrift in fourth place.
With 10, six and four bonus seconds respectively available for the first three over the line, Cavendish knew he could afford to lose to Kristoff providing he also finished on the podium.
Cavendish's victory in the general classification caps an eventful week for his new team Dimension Data, after his team-mate Edvald Boasson Hagen lost the lead in the unluckiest circumstances on Thursday when he punctured twice in the finale.