The Yankees take a big step up in class Tuesday evening after they swept the brutal Red Sox out of The Bronx with a pinstriped broom.

Now the Yankees face the Rays for three games that could help decide the AL East winner.

Luke Voit’s two homers and one each from Thairo Estrada and Aaron Hicks carried the Yankees to a rain-delayed 6-3 victory over the Red Sox on Monday night at Yankee Stadium where the hosts completed a four-game sweep against their former partners in what used to be the best rivalry in baseball.

“He has been real good. When he came back for summer camp I felt his at-bats were really good each and every day,’’ Aaron Boone said of Voit, who has hit in Aaron Judge’s No. 2 spot in the order in four recent games. “Really from jump street he was in a really good place and he has carried that into the season.’’

With Judge, Giancarlo Stanton and DJ LeMahieu on the injured list, the Yankees swatted a season high in homers. Voit’s two put him two back of Judge, who leads the team with nine.

As for hitting second, Voit doesn’t put a whole lot of stock in it.

“I have hit anywhere from second to seventh this year and obviously we want AJ and G back in the lineup, hitting early in the lineup,’’ said Voit, who hit a two-run homer in the second and a leadoff homer in the fifth. “I like to know I am in the lineup every day and it doesn’t matter where I am hitting, I will be ready to go.’’

It was the 16-6 Yankees’ sixth straight victory and the 10th consecutive against the Red Sox, who have lost 15 of the past 16 games versus the Yankees. The Red Sox are 6-17.

In his first day back from the COVID-19 injured list, Aroldis Chapman recorded the final three outs in a non-save situation and gave up a run but pushed the speed guns to 100 mph with four pitches and 101 with two.

“Super happy to be here with my teammates. I felt really good tonight,’’ Chapman said. “Looking forward to moving along.’’

Mike King provided three innings of one-run relief for the win, his first in the big leagues.

The only stains on the victory were two throwing errors by shortstop Gleyber Torres and left fielder Miguel Andujar twisting and turning on Alex Verdugo’s sixth-inning fly ball that should have been caught, but bounced on the warning track for an RBI ground-rule double.

Torres has a team-high six errors and was picked off first by catcher Kevin Plawecki to end the seventh. Voit’s scoop of an eighth-inning throw saved Torres from a third error.

On the plus side defensively, right fielder Clint Frazier made a running catch of J.D. Martinez drive on the warning track for the final out of the seventh inning that likely would have scored Rafael Devers from first and cut the Yankees’ lead to 5-3.

Voit’s first homer in the second frame extended the Yankees’ streak to 18 games at the Stadium in which they have homered. Voit also homered in the fifth and Estrada hit a homer an inning earlier. Hicks homered leading off the seventh.

The victory pushed the Yankees’ AL East lead to 2 ½ games over the idle Rays who open a three-game series in The Bronx on Tuesday night with the promise of being more competitive than the Red Sox.

The game was delayed for 1 hour and 23 minutes in the fourth inning and cost Jordan Montgomery a possible victory. Montgomery worked 3 ²/₃ innings and gave up a run, three hits, struck out four and didn’t issue a walk.

Luis Avilan took over for Montgomery in the fourth after the rain delay and worked out of a bases-loaded jam by striking out Verdugo.