From The Airport
Taoyuan International Airport (CKS Airport)
By MRT:You can take TaoYuan Metro to Taipei Main Station within 38 to 45 minutes.
By Bus:Also the buses of Kuokong Motor Transport Company, Airbus or any bus that goes to Taipei. It might take you about 50 to 90 minutes (about 50 km) to Y Hotel Taipei depending on local traffic flow.
By Taxi: Taxies are another transporting options; taxi fare can be negotiated(about NT$1200 as estimated).
By Bus:You can take bus No. 262 or No. 5 and make Taipei Train Station your destination. That will charge you NT$15.
By MRT: you can take Wenhu line from Songshan Airport Station to Zhongxiao Fuxing Station, then transfer Bannan line to Taipei main Station.
By Taxi: it costs around NT$250
From Taipei Main Station:
TRA，MRT，HSR stop at Taipei Main Station , Go south-east direction, you shall find MRT Exit 8 ( M8 ), then find XuChang St. on your left. YMCA is a 3-4 minute's walk from M8.