Answer
$b=-7.4
$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
0.8-4(b-1)=0.2+3(4-b)
$, is
\begin{array}{l}
0.8-4b+4=0.2+12-3b
\\\\
-4b+3b=0.2+12-0.8-4
\\\\
-b=7.4
\\\\
b=-7.4
.\end{array}
CHECKING:
\begin{array}{l}
0.8-4(-7.4-1)=0.2+3(4-(-7.4))
\\\\
0.8-4(-8.4)=0.2+3(11.4)
\\\\
0.8+33.6=0.2+34.2
\\\\
34.4=34.4
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
b=-7.4
$.
