To solve the equation [tex]\( x + y = 8 \)[/tex] for [tex]\( y \)[/tex] given that [tex]\( x = -1 \)[/tex], follow these steps:
1. Substitute [tex]\( x = -1 \)[/tex] into the equation [tex]\( x + y = 8 \)[/tex]:
[tex]\[
-1 + y = 8
\][/tex]
2. To isolate [tex]\( y \)[/tex], add 1 to both sides of the equation:
[tex]\[
-1 + y + 1 = 8 + 1
\][/tex]
3. Simplify the left side of the equation:
[tex]\[
y = 8 + 1
\][/tex]
4. Perform the addition on the right side:
[tex]\[
y = 9
\][/tex]
Therefore, the value of [tex]\( y \)[/tex] is [tex]\( 9 \)[/tex].
