Williams was scheduled to make $8.485 million (none guaranteed) in 2017 and was to count $10.5 million against the Dolphins' cap.
On Wednesday night, the New York Jets declined to pick up an option on Ryan Clady's contract making the four-time Pro Bowl tackle a free agent.
Those transactions should bring the Dolphins to roughly $50 million in cap space based on the projected salary cap increase, which estimates that the 2017 salary cap will be $168 million.
The deeper question is whether the Dolphins meant to pursue this approach all along, setting the process in motion to cut Albert but waiting for teams to call and inquire about the possibility of trading for his current contract in lieu of signing him on the open market, in competition with other teams.
Turkish shelling kills 60 civilians in Syria's al-Bab
Al-Bab has been under IS control since 2014, when the group seized large swathes of territory in Syria and neighbouring Iraq, proclaiming its self-described caliphate.
Albert later explained that he had been taken aback by people assuming Tunsil would automatically step into the left tackle role as a rookie. The defensive end had 38 sacks from 2012 through 2014, but has just 6.5 sacks in 28 games since.
Miami will move 2016 first-round pick Laremy Tunsil to left tackle to replace Albert.
Williams, 32, signed with the Dolphins last offseason after he was released by the Buffalo Bills.
He didn't play a full season in any of his three seasons with the Dolphins because of injuries, including a dislocated wrist last season that he had surgically repaired in November. He had 1 sacks, increasing his career total to 97, and made 13 tackles. Last season he was limited to nine games (five starts) because of a calf injury.