Your encouraging words inspired us more than you realise
Your words gave us more encouragement than you think.
「その言葉はあなたが思っているよりもずっと僕たちを動かせる」= Your words inspired us more than you think / Your encouraging words inspired us more than you realise / Your words gave us more encouragement than you think.
ボキャブラリー
その言葉 = your words / your encouraging words
※encouraging=励ます
動かせる = (この文脈で) inspired us / encouraged us
思っているより = more than you think / more than you realise