named after the  River Tame  which flows through the borough and spans the towns of  Ashton-under-Lyne ,  Audenshaw ,  Denton ,  Droylsden ,  Dukinfield ,  Hyde ,  Mossley  and  Stalybridge . Its western border is approximately 4 miles (6.4 km) east of  Manchester city centre . It borders  Derbyshire  to the east,