7...b4 8. Kd3 b5 9. Kd2 e5 10.Kd3 b3. What's next?
Post your studies here!

That's why Black should play 7...b4. It gives White a chance to lose with Kd3 instead of winning with Kc2. And it's why I thought you should include that variation in your solution.

Now the only problem with your solution is that this is the thread in which rychessmaster1 is supposed to be the solver. I guess we should ask him whether outside solutions are welcome.

I posted this in another thread and received no replies, so I will repeat it here.
White to play and win
You need to show what happens if 7...b4 instead of e5.
what exactly is the next move by black after 7..b4 8.Kb3 ? Do you want to push your pawns slowly or alternately like 8..b7-b6 /..b7-b5 / ..e5 either ways white king will just wait there to snap the pawns you push, will not actively get to the pawns but wait til you push.
OKAY, THIS IS A TYPO ERROR- it should be OBVIOUS the king comes from d2