In a stand mixer or by hand, mix together the warmed water and yeast in a bowl. Allow the yeast to "bloom" in the warm water for 3 minutes to help activate the yeast.
Add the flour, sugar, melted butter, 1 egg and salt mixing everything together until it no longer sticks to the walls of the bowl. *add 1 tbsp more flour if dough is too sticky OR 1 tbsp more water if dough is too dry. Should be a play dough consistency.
Cover and rest dough in a large greased bowl for 1 hour in a warm spot. *I slightly warm my oven for a few seconds and let the dough proof in there. **Dough should over double in size.
Punch the dough down and divide into 10-12 even balls. *I like to make each roll the same size so I use a kitchen scale but you do you here.
Roll into round balls for hamburger buns or long skinny logs for hot dog buns. Place on cookie sheet 3 inches apart. Let rise in a warm spot for 30 minutes, again I use a warm oven.
In a small bowl, combine the second egg and 1 teaspoon of water. Lightly brush egg wash on top of each proofed dough ball. Garnish with sesame or poppy seeds if preferred.
Bake at 375 degrees for 13-15 minutes until golden brown.
