Complex sentence: Hashimoto & Hirata would lose the tag titles in June 1996, when they fell to Kazuo Yamazaki & Takashi Iizuka; it allowed Hashimoto to focus solely on the singles gold, as he worked on another long run.
Split into simpler sentences: Hashimoto & Hirata would lose the tag titles in June 1996, when they fell to Kazuo Yamazaki and Takashi Iizuka. After this, Hashimoto focused solely on the singles gold, as he worked on another long run.