Solve y = 2 + 6x: Finding y When x Equals 2

To solve this problem, we'll substitute the given value of $x = 2$ into the equation $y = 2 + 6x$.
1. Substitute $x = 2$ into the equation:
$\begin{aligned} y &= 2 + 6x \\ &= 2 + 6 \times 2 \end{aligned}$

2. Perform the multiplication $6 \times 2$:
$6 \times 2 = 12$

3. Add the result to 2:
$\begin{aligned} y &= 2 + 12 \\ &= 14 \end{aligned}$

Thus, when $x = 2$, the value of $y$ is $\mathbf{14}$.