Using the right-hand rule, one can determine the direction of magnetic fields on loops Y and Z due to the current in the wire.
The magnetic field on loop Y is in the direction out of the page, and the magnetic field on loop Z is in the direction into the page. Both decrease as the current in the wire decreases, so magnetic flux decreases for both loops Y and Z.
According to Lenz' law, a current is induced on the loop Y in an anti-clockwise direction, so it opposes the change in the flux. Likewise, according to Lenz' law, a current is induced on the loop Z in a clockwise direction, so it opposes the change in the flux.