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Simplify this algebraic expression completely.

[tex]\(8y - 2(y + 4)\)[/tex]

A. [tex]\(6y - 8\)[/tex]

B. [tex]\(6y + 2\)[/tex]

C. [tex]\(6y + 4\)[/tex]

D. [tex]\(6y - 4\)[/tex]

Sagot :

GinnyAnswer
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]
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