[dmnt]

Smolensk = Смоленск

А,а = A, like u in "dust".
Б,б = B, as in bee
В,в = V, as in Victor
Г,г = G, as in good
Д,д = D, as in David
Е,е = E or Ye, as in Yeltsin
Ё,ё = O or Yo, as in York
Ж,ж = Zh, no direct equivalent. A bit like Z in zebra but further back; try saying Zhebra and you're close.
З,з = Z, as in zebra
И,и = I, as in bit
Й,й = short I, no direct equivalent.
К,к = K as in kick
Л,л = L as in last. Pronounced softer than the English counterpart.
М,м = M as in Maria
Н,н = N as in Nick
О,о = O as in Ohio
П,п = P as in happy
Р,р = rolling R but otherwise as in Roger
С,с = sharp S as in sit
Т,т = T as in tea
У,у = U like o in food
Ф,ф = F as in fit
Х,х = rough H or Kh, no direct equivalent, as in Khaled
Ц,ц = Ts, as in cats
Ч,ч = Ch, as in check
Ш,ш = Sh, as in shark
Щ,щ = Shch, no direct equivalent. Softer version of Sh.
Ъ,ъ = Hard sign, affects only pronounciation, sometimes marked with '
Ь,ь = Soft sign, affects only pronounciation
Ы,ы = Y (or I made in the rear in mouth), practically replaceable with either I or Y.
Э,э = E in the start of a word, as in electricity
Ю,ю = U or Yu, as in Yugoslavia
Я,я = A or Ya, a bit like in yard but shorter

Ye, Yo, Yu and Ya may fuse in pronounciation into the consonant before them to form a softer version of that; compare with N in newt and N in nephew.

Хорошего дня!
Khoroshego dnya! (have a nice day!)

There's also a script type (and handwritten type) which have some differences, but let's not go there.