Here's how we get there:
1. Move the first consonant to the end of the word: Samantha -> Amathans
2. Add "ay" to the end: Amathans -> Amathansay
Here's how we get there:
1. Move the first consonant to the end of the word: Samantha -> Amathans
2. Add "ay" to the end: Amathans -> Amathansay