Controlling fluid flow through a downhole tool

A method, comprising:

• operating a downhole tool coupled to a production tubing that is positioned in a wellbore formed from a terranean surface and extended into a subterranean formation, the downhole tool comprising:
• a y-tubular section that comprises a main tubular section, a primary tubular leg coupled to the main tubular section, and a secondary tubular leg coupled to the main tubular section and offset from the primary tubular leg, and
• a hydraulic flow control device positioned in the primary tubular leg;
• providing a hydraulic signal to the flow control device through a hydraulic flow line that extends from at or near the terranean surface, through the main tubular section and primary tubular leg, and to the hydraulic flow control device;
• modulating the flow control device toward a closed position to fluidly decouple the secondary tubular leg from a portion of the primary tubular leg downhole of the hydraulic flow control device based on the hydraulic signal from a hydraulic fluid system positioned at or near the terranean surface;
• subsequent to modulating the flow control device to the closed position, operating an electrical submersible pump (ESP) that is at least partially positioned in the secondary tubular leg to circulate a wellbore fluid through the secondary tubular leg, through the main tubular section, and into the production tubing;
• modulating the flow control device toward an open position to fluidly couple the main tubular section to a portion of the primary tubular leg downhole of the flow control device based on another hydraulic signal from the hydraulic fluid system provided through the hydraulic flow line;
• and
• prior to or subsequent to modulating the flow control device to the open position, stopping operation of the ESP.

A downhole flow control system, comprising:

• a production tubing positioned within a wellbore that extends from a terranean surface into a subterranean formation;
• a y-tool that comprises:
• a main tubular section coupled to the production tubing, a primary tubular leg coupled to the main tubular section, and a secondary tubular leg coupled to the main tubular section and offset from the primary tubular leg, and
• a hydraulic ball valve positioned in the primary tubular leg;
• a hydraulic fluid line that extends from at or near the terranean surface, through the main tubular section and primary tubular leg, and to the hydraulic ball valve;
• a downhole pump positioned in or downhole of the secondary tubular leg;
• and
• a control system positioned at or near the terranean surface and configured to perform operations comprising:
• transmitting a hydraulic signal through the hydraulic fluid line to the hydraulic ball valve to modulate to a closed position;
• when the hydraulic ball valve is in the closed position, operating the downhole pump to circulate a wellbore fluid through the secondary tubular leg and into the production tubing through the main tubular section;
• transmitting another hydraulic signal to the hydraulic ball valve to modulate to an open position;
• and
• when the hydraulic ball valve is in the open position, stopping operation of the downhole pump.