Sure, let's solve the equation step-by-step to find the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] equals -8.
Given the equation:
[tex]\[
8x + 8y = -48
\][/tex]
1. Substitute [tex]\( x = -8 \)[/tex] into the equation:
[tex]\[
8(-8) + 8y = -48
\][/tex]
2. Simplify the equation by calculating [tex]\( 8(-8) \)[/tex]:
[tex]\[
-64 + 8y = -48
\][/tex]
3. To isolate the term with [tex]\( y \)[/tex], add 64 to both sides of the equation:
[tex]\[
-64 + 64 + 8y = -48 + 64
\][/tex]
This simplifies to:
[tex]\[
8y = 16
\][/tex]
4. Finally, solve for [tex]\( y \)[/tex] by dividing both sides of the equation by 8:
[tex]\[
y = \frac{16}{8}
\][/tex]
This yields:
[tex]\[
y = 2
\][/tex]
So, the value of [tex]\( y \)[/tex] when [tex]\( x = -8 \)[/tex] is:
[tex]\[
y = 2
\][/tex]
