Unchecking SMS sync
The responses forgot to mention HOW to navigate to get to unchecking the SMS Sync option.
This is for a Galaxy 4S
1) Open your email on your phone
2) Go to SETTINGS (it's on the bottom left of the the phone next to the HOME button)
3) Tap on the Hotmail account that is receiving the texts
4) Scroll down to the bottom and select MORE SETTINGS
5) Scroll down to SYNC SMS and uncheck the box
It worked for me. Hoped this helped. Good luck.