To find the value of [tex]\( y \)[/tex] in the equation [tex]\( 16y = 164 \)[/tex], you need to isolate [tex]\( y \)[/tex] on one side of the equation. Here are the steps to solve it:
1. Start with the given equation:
[tex]\[
16y = 164
\][/tex]
2. To isolate [tex]\( y \)[/tex], divide both sides of the equation by 16:
[tex]\[
y = \frac{164}{16}
\][/tex]
3. Perform the division to find the value of [tex]\( y \)[/tex]. The division of 164 by 16 results in:
[tex]\[
y = 10.25
\][/tex]
4. The value 10.25 can be expressed as a mixed number:
[tex]\[
y = 10 \frac{1}{4}
\][/tex]
Thus, the correct answer is:
[tex]\[
\text{B. } 10 \frac{1}{4}
\][/tex]
