帮我翻译下面这句去英文.比较官方的说法.大家的支持和鼓励是我们成长的动力,

motive这个词是指 动机,a motive for the murder谋杀的动机
放在这里不合适
因此这句话应该翻译成
Due to you guys' supporting and encouraging us,there comes sparkles as well as sunshine during our growing-up.
或者
Your support and encouragement has acted as a dynamic boost in our growth.

Your support and encouragement are the drive in our development ( 或 growth).

Your suport and encouragement are the motivatiion for the time our growing.

Your support and encouragement are our motives in growth