That brought up Bay, who sliced a 1-0 pitch into the right-field stands for a grand slam, and the Mets went on to complete a three-game series sweep.
Young (4-7) yielded one run on five hits over five innings, walking one and striking out three. Four Mets relievers combined to shut out the Marlins the rest of the way.
Buehrle ended up allowing five runs on six hits over a seven-inning effort.
Justin Ruggiano knocked in the only run for Miami.