ようやく
at last, finally (after a long time)
ようやく + result
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ようやく means something finally happened after a long wait or a lot of effort: 三時間待って、ようやく順番が来た, "after waiting three hours, my turn finally came".
It's close to やっと. ようやく is a little more formal and written, and it's a touch calmer: やっと often carries relief or exasperation, while ようやく simply notes that the long process is over.
It works for gradual changes too: ようやく仕事に慣れてきた, "I'm finally getting used to the job".
Compare いよいよ, "at last (something is about to begin)", which looks forward to an imminent event rather than back at a long wait.
Examples
三時間待って、ようやく順番が来た。
After waiting three hours, my turn finally came.
長い冬が終わり、ようやく春になった。
The long winter is over, and spring has come at last.
ようやく仕事に慣れてきた。
I'm finally getting used to the job.
何度も失敗して、ようやく成功した。
After failing again and again, I finally succeeded.
事件はようやく解決した。
The case was finally solved.