TinyBF to Brainf*** converter

Question

We have a Brainf*** to TinyBF converter, but not the other way around, so here's one.

Rules:

• Your interpreter must take a valid TinyBF program, on one line, and it must output the corresponding BrainF*** program, on one line, with optional trailing whitespace/newline. No leading whitespace is allowed
• The input may or may not contain characters that are not any of the four TinyBF characters. If so, you must print all of these characters in the same spots.
• An answer will be accepted on April 1st (not joking), based on some obscure criteria I will use (jk ;) I will accept the shortest program that does not cheat by the following rules)
• No 0-byte or 1-byte solutions, because it ruins the fun if you make (or there is) a programming language just for this purpose)

Test Cases

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Input 1: +++++>+++++=>=|>>+=>>+|=>|>+=>+| (Computes 5 (byte 1) + 5 (byte 2) = 10 (byte 3))
Output 1: +++++>+++++<[>>+<<-]>[>+<-]

Input 2: +++>++++Hi+++:P+=>=|>|>+>+=>>&&+|=>>|=>>=+!!>>=+|>>>+| (Computes 3 (byte 1) * 8 (byte 2) = 24 (byte 3)) Output 2: +++>++++Hi+++:P+<[>[>+>+<<&&-]>>[<<+!!>>-]<<<-]

Answer 1

Python 3, 97 bytes

This script is based on @Mego's answer

a=0
for c in input():a-=c=='=';print({'+':'+-','>':'><','|':'[]'}.get(c,c)[a%-2]*(c!='='),end='')

Answer 2

Python 2, 106 bytes

a=0
r=''
for c in input():a=[a,~a][c=='='];r+={'+':'+-','>':'><','|':'[]'}.get(c,c)[a%-2]*(c!='=')
print r

Implements the TinyBF specification as found here. Try it online. Improvements were made using techniques from @Dica's answer. Requires quoted string input.