Answer
$3x+y=10$
Work Step by Step
Using $Ax+By=C$ or the standard form of linear equations, the given equation, $
y+2=-3(x-4)
,$ is equivalent to
\begin{array}{l}\require{cancel}
y+2=-3(x-4)
\\\\
y+2=-3x+12
\\\\
3x+y=12-2
\\\\
3x+y=10
.\end{array}