Counting and adding multiple variables from single cell in sheets - regex

Question

I have a sheets document that has cells that users input data into. They know to input the data in a certain format; a 'number' and a 'letter', followed by a space, a SKU number, and then a comma.
I'd like to have a formula that counts the amount of each 'letters' and then adds the 'numbers' for each letter.
There are only five 'letters' users can choose from; M, E, T, W, B.
The data they input isn't restricted to a set order, and there isn't a limit of how much they can input, as long as it follows the aforementioned syntax.
I attached a screenshot of an example of how this should look.
The yellow cell is the user inputted data, and the green cells is data created by formula.
Or here's a link to a live version: link
I tried doing it with COUNTIF but that didn't work. I'm guessing it would be done with an array, but I don't know where to start. If I can see an example of something similar, I could probably do the rest.

Answer 1

yes:
=INDEX(REGEXREPLACE(SPLIT(REGEXREPLACE(FLATTEN(QUERY(TRANSPOSE(QUERY(TRANSPOSE(SORT(TRANSPOSE(QUERY(SPLIT(
FLATTEN(REGEXREPLACE(TRIM(SPLIT(A2:A9, ",")), "\b(\d+(?:\.\d+)?)(.+?)\b(.*)", ROW(A2:A9)&"×$1$2×$1×$2")), "×"),
"select count(Col2),sum(Col3) where Col2 is not null group by Col1 pivot Col4 label count(Col2)''")))),
"offset 1", 0)*1&TRIM(REGEXREPLACE(TRANSPOSE(SORT(FLATTEN(QUERY(SPLIT(
FLATTEN(REGEXREPLACE(TRIM(SPLIT(A2:A9, ",")), "\b(\d+(?:\.\d+)?)(.+?)\b(.*)", ROW(A2:A9)&"×$1$2×$1×$2")), "×"),
"select count(Col2),sum(Col3) where Col2 is not null group by Col1 pivot Col4 limit 0 label count(Col2)''")))),
".*sum", ))),,9^9)), "([^ ]+ [^ ]+) ", "$1×"), "×"), "(\d+(?:\.\d+)?)$", "($1)"))

Answer 2

I've added a new sheet ("Erik Help") with the following solution:
=ArrayFormula(FILTER( SPLIT("B E M T W", " ") & " (" & IFERROR(VLOOKUP(ROW(A1:A) & SPLIT("B E M T W", " "), QUERY(FLATTEN(SPLIT(QUERY(FLATTEN(IFERROR(REPT(ROW(A1:A) & REGEXEXTRACT(SPLIT(REGEXREPLACE(A1:A&",", "\d+,", ""), " ", 0, 1), "\D") & "~", 1*REGEXEXTRACT(SPLIT(REGEXREPLACE(A1:A&",", "\d+,", ""), " ", 0, 1), "\d+")))), "WHERE Col1 <>'' "), "~", 1, 1)), "Select Col1, COUNT(Col1) GROUP BY Col1"), 2, FALSE), 0)&")", A1:A<>""))