DISCLAIMER: I don't have a great understanding of Russian but I try my best to verify all meanings. If you have any suggestion for an improvement or correction, please post it in a comment below so everybody may learn and understand better. My older translations are more likely to have errors than the newer ones.

2018 update
"У него не один есть секрет" - I don't properly understand how this phrase works but I did verify the meaning, perhaps it's a bit colloquial. It could also be translated like "He doesn't have only one secret" it means that he's keeping more than one secret away from her. "She doesn't have any secrets from him" would be correct, but it can very easily be misunderstood with this English. So I needed to clarify it to "She isn't keeping any secrets away from him" meaning that she hasn't kept from telling him any of her own secrets. "Away from" can mean "other than" but not in the context of "keeping", though it can mean "other than" in the context of "having".

Катя Чехова - Она Одна [Английский перевод]

[TV Commentator]
An international group of computer hackers attacked one of the leading payment systems.
The Sony corporation announced, that because of hacking attacks
there's now been personal data stolen from the Playstation user networks.
Intel computer corporations were subjected to a hacker attack...

[Song]
In a black & white video dream
She's alone sitting by the fireplace
And days of a black & white filter are in tapes visible to him
He has more than one secret
She isn't keeping any secrets away from him
In a black & white video dream
She's alone sitting by the fireplace

[Chorus]
I write letters on the sky
I say it with meaning while the music plays
I'll write with paints, with hues -
"I can't be without you"

In a black & white video dream
She's not alone sitting by the fireplace
And days of a black & white filter are still so visible to him
He wanted to tell her the secret
She hasn't any more secrets for him
In a black & white video dream
She's alone sitting by the fireplace

[Chorus]

Катя Чехова - Она Одна [текст]

[Телекомментатор]
Международная группа компьютерных хакеров атаковала одну из ведущих платежных систем.
Корпорация Sony объявила, что из-за хакерской атаки
были похищены персональные данные пользователей сетей Плейстейшен.
Компьютерной корпорации Intel подверглись хакерской атаке...

[Песня]
На черно-белом видео сна
У камина сидит она одна
И черно-белого фильтра дни в лентах ему видны
У него не один есть секрет
У нее от него никаких секретов нет
На черно-белом видео сна
У камина сидит одна

[Припев]
Буквами на небе вывожу
Смыслами под музыку скажу
Красками, оттенками напишу -
"Я без тебя не могу"

На черно-белом видео сна
У камина сидит она не одна
И черно-белого фильтра дни всё также ему видны
Он хотел рассказать ей секрет
У нее для него больше секретов нет
На черно-белом видео сна
У камина сидит одна

[Припев]

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