Johnny Cash’s posthumous new song “Well Alright” follows the late singer in a charming tale of falling in love in a laundromat. Cash’s new album Songwriter is due on June 28.

The first taste of Songwriter is “Well Alright,” which finds Cash at his most charming and flirtatious as he weaves a simple story of love at the laundromat. “Then I opened up the dryer and ...