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Jack Brooks took 5-40 as Yorkshire skittled Derbyshire for just 163 to secure a final-day win at Headingley.

Resuming on 597-5, the Tykes' middle order smashed 80 runs off the opening 10 overs of the day before declaring on 677-7 in an attempt to force victory.

Trailing by 202, Derbyshire lost first-innings hero Chesney Hughes and Shiv Chanderpaul to Liam Plunkett (2-20).

And despite defiance by Wayne Madsen (52) and Wes Durston (50), Brooks sealed the innings-and-39-run victory.

Despite losing Jonny Bairstow for 186 in the penultimate over of the previous evening, the intentions of Adil Rashid and Gary Ballance were clear at the start of day four as the pair took nine off the opening over.

Although Jonathan Clare dismissed Ballance for 53 and then caught England seamer Tim Bresnan (14) off the bowling of Tim Groenewald, Plunkett and Rashid took the Yorkshire score to 677-7, the county's joint-fourth highest total, prompting skipper Andrew Gale to declare.

Derbyshire needed 202 just to make the hosts bat again, but Bresnan trapped Billy Godleman lbw for nine and when Plunkett took the wickets of Hughes and Chanderpaul they were struggling on 47-3 at lunch.

Madsen and Durston combined to put on 92 for the fourth wicket, but once Durston fell to Brooks, Yorkshire were able to push for victory, with the 28-year-old former Northants man taking the final wicket of Tony Palladino to complete his five-for.

"We have shown that in different situations we can score runs and take wickets," Yorkshire coach Jason Gillespie said.

"The players have got the belief, the right attitude and a good work ethic, which are great things for them to have. They want to do well for each other and that is what we are trying to create."

Match scorecard