Complex sentence: After 1871 the academy formally used the name Hackney College, and in 1887 as it had outgrown its Well Street premises in Hackney, it took on new premises at Finchley Road, Hampstead where it was associetd with Peter Taylor Forsyth.
Split into simpler sentences: After 1871 the academy formally used the name Hackney College. In 1887, as it had outgrown its Well Street premises in Hackney, it took on new premises at Finchley Road, Hampstead, where it was associated with Peter Taylor Forsyth.