Yah, what Dub said.
That mesh looking thinggy is your flex pipe. Since your engine moves during revs & the exhaust system is such a long relatively solid structure, you need it in place.
A decent Mom-n-Pop exhaust shop should be able to replace the flex for less than $100 (IIRC the last time I had one done was about $50 but that was 10 years ago).
They should be also be able to repair what you fixed on the collector (Y pipe).
Dub & I mention a A decent Mom-n-Pop exhaust shop because typically a big box shop will want to replace damaged components with OEM equivalent. The smaller shops will use more generic components & adapt.