My Google play store won't work or open. Can I download it?

[BuggaBusta]

Somehow I lost Google Play from my phone. I attached a photo of what comes up when I try to open it.
Can anyone explain to me like I'm a 6 y/o, how I can get It back on my phone?
I've tried downloading from my browser & an apk download (whatever that means?)
My device is a Kyocera Hydro Life. I'd appreciate any assistance at all. Thank you in advance, Stephanie

 

[Leon Marco]

Open your file explorer/file manager or  whatever app you can use to view files on your device. Go to the downloads folder and search for the Google play file you downloaded. Tap on it and and​ a box with some text will appear. Select the settings option scroll down and select the check box next to unknown sources and press back button. Now you will see a screen with a lot of text in it to the next button continuously  until you see an install opyion. Select that and wait. Now try opening the play store app and check again. If it does not work yet let me know.