Abstract: A cold-brew coffee brewing system has a brew tank assembly supported in an elevated position by a tank support structure. A fluid-permeable support structure is removable from below the interior volume of a tank body for accessing the interior volume to remove used coffee grounds. A swing arm assembly supported by the tank support structure facilitates convenient support and movement of the fluid permeable support structure under a load of used coffee grounds in the interior volume of the tank body. A cold-brewing method for preparing cold-brew coffee may use the cold-brew coffee brewing system.