What made ponyboy realize at last that Darry loved him explain what he meant by i was finally home to stay.?

Ponyboy realized that Darry loved him when he saw the depth of Darry's concern and sacrifice for him, particularly during moments of tension and worry about their future. This realization came to a head when Ponyboy understood that Darry's strictness and tough love stemmed from a desire to protect and support him, not from indifference. When Ponyboy said, "I was finally home to stay," he meant that he felt a sense of belonging and security with his family, acknowledging that despite their struggles, they would always be there for one another.