To solve for [tex]\( y \)[/tex] in the equation [tex]\( t - 9 = s + 8y \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[
t - 9 = s + 8y
\][/tex]
2. Isolate the term containing [tex]\( y \)[/tex] on one side of the equation. Subtract [tex]\( s \)[/tex] from both sides:
[tex]\[
t - 9 - s = 8y
\][/tex]
3. Now, to solve for [tex]\( y \)[/tex], divide both sides by 8:
[tex]\[
y = \frac{t - 9 - s}{8}
\][/tex]
Thus, the correct rearranged equation to solve for [tex]\( y \)[/tex] is:
[tex]\[
y = \frac{t - 9 - s}{8}
\][/tex]
Therefore, the correct answer is:
[tex]\[
\boxed{y = \frac{t-9-s}{8}}
\][/tex]
From the provided multiple-choice options, the correct choice is:
[tex]\[
\boxed{2}
\][/tex]
