how to solve (8-5 ÷ 6) 6 = 43?

(8 - 5 ÷ 6) 6

as written, we divide first:

(8 - 5/6) 6

Now we subtract, so we'll need a common denominator:

(48/6 - 5/6) 6
(43/6) 6

Now multiply.  the 6's cancel out:

43

By distributive law:
(a - b) × c = a × c - b × c

Now,  a = 8,  b = 5 ÷ 6  and  c = 6
Hence, (8 - 5 ÷ 6) × 6
= 8 × 6 - 5 ÷ 6 × 6
= 48 - 5
= 43

you need to restate your question...looks like you have a typo

Apply PEMDAS
(8-5/6)6
((8*6-5)/6)6
((48-5)/6)6
(43/6)6
=43

What operand symbol is in the place of my underline ... ")_6" AND THE ANSWER IS * (as in the times sign) ... and then the equation works.

(8 - 5 ÷ 6) 6 
= 43

nothing to solve
(8-5 ÷ 6) 6 
division has precedence 
(8 – 5/6)5
(48/6 – 5/6)6
(43/6)6
43
so the equality is correct.

(8 - 5 ÷ 6) 6 
= 43