To find the y-intercept of the equation $3X + 8Y = 48$, follow these steps:

1. The y-intercept occurs when $X = 0$. So, substitute $X = 0$ into the equation:

$3(0) + 8Y = 48$

2. Simplifying the equation:

$8Y = 48$

3. Solve for $Y$:

$Y = \frac{48}{8} = 6$

Therefore, the y-intercept is $Y = 6$, or as a point, it is $(0, 6)$.

Would you like more details on this process, or do you have any questions?

Here are 5 related questions:

1. How do you find the x-intercept of a line?
2. What is the slope of the line $3X + 8Y = 48$?
3. Can you rewrite the equation $3X + 8Y = 48$ in slope-intercept form?
4. What happens to the y-intercept if the equation changes to $3X + 8Y = 60$?
5. How would you graph the line $3X + 8Y = 48$?

Tip: The y-intercept is always the point where the graph crosses the y-axis (when $X = 0$).