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The hosts extended their run of form with a bonus-point victory in Counties Three Yorkshire A.
Winger Harris Dinsdale scored on his debut, with scrum-half Michael Tam converting for a 7-0 lead.
Centre Ben Bastow added a second try after Dinsdale’s kick and chase.
Dinsdale then scored again after Burley’s penalty failed to find touch. Neither try was converted.
Burley responded with a converted try after choosing a scrum.
Miles Tetley’s break released full-back Hamish Munro for Skipton’s fourth try. Tam converted, before Josh Nkwo’s kick-off return set up Bastow’s second. Skipton led 29-7 at half-time.
Skipton then lost prop Steve Carroll and Dinsdale to yellow cards.
Burley scored another converted try while Skipton had two players off.
Changes brought Alex Cruise-Brown and Ric Wilsher into the pack, with Callum Patrick joining the back-line.
With two players off, Skipton regained control. A charge down and kick to corner led to Malc Wilsher scoring from a line-out.
Munro scored his second try after pressure from forwards.
Oldfield entered for 10 minutes, marking his 300th appearance.
Dinsdale completed his hat-trick with a breakaway try as Skipton secured victory.