Cable Removal Note

WARNING: This page is about a different car, the 2004 Mazda MPV. However, it is still accessible from the selected car via links, so may be relevant.

While pulling the front pulley cable fully, pull the adjustment hook.
Open the sliding door.
While slightly lifting up the sliding door, remove the cables from the center roller.

Fig 1: Pulling Adjustment Hook Of Front Pulley Cable
Courtesy of MAZDA MOTORS CORP.