To simplify the algebraic expression [tex]\( 10y - 3(y + 5) \)[/tex] completely, follow these steps:
1. Distribute the [tex]\(-3\)[/tex] through the terms inside the parentheses:
[tex]\[
10y - 3(y + 5) = 10y - 3y - 3 \times 5
\][/tex]
2. Multiply the constants:
[tex]\[
10y - 3y - 15
\][/tex]
3. Combine like terms (the terms involving [tex]\( y \)[/tex]):
[tex]\[
10y - 3y = 7y
\][/tex]
4. Finally, put the simplified terms together:
[tex]\[
7y - 15
\][/tex]
So, the simplified expression is:
[tex]\[
7y - 15
\][/tex]
Therefore, the correct answer is:
B. [tex]\( 7y - 15 \)[/tex]
