Let's simplify the algebraic expression [tex]\( 8y - 2(y + 4) \)[/tex] step by step.
1. Distribute the -2 across the terms inside the parentheses:
[tex]\[
8y - 2(y + 4) = 8y - 2 \cdot y - 2 \cdot 4
\][/tex]
2. Multiply:
[tex]\[
8y - 2y - 8
\][/tex]
3. Combine like terms:
[tex]\[
(8y - 2y) - 8 = 6y - 8
\][/tex]
So, the simplified expression is [tex]\( 6y - 8 \)[/tex].
Looking at the provided answer choices:
A. [tex]\( 6y - 8 \)[/tex]
B. [tex]\( 6y + 2 \)[/tex]
C. [tex]\( 6y + 4 \)[/tex]
D. [tex]\( 6y - 4 \)[/tex]
The correct answer is:
A. [tex]\( 6y - 8 \)[/tex]
