Answer
$y=7$
Work Step by Step
Using the properties of equality, the solution to the given equation, $
5y-10+y=7y+18-5y
$, is
\begin{array}{l}
5y+y-7y+5y=18+10
\\\\
4y=28
\\\\
y=7
.\end{array}
CHECKING:
\begin{array}{l}
5(7)-10+7=7(7)+18-5(7)
\\\\
35-10+7=49+18-35
\\\\
32=32
\text{ (TRUE)}
.\end{array}
Hence, the solution is $
y=7
$.
