To solve for \( y \) in the equation:

\[
6x + 2y = 120
\]

Follow these steps:

1. **Isolate \( 2y \)** by subtracting \( 6x \) from both sides:
   \[
   2y = 120 - 6x
   \]

2. **Solve for \( y \)** by dividing both sides by 2:
   \[
   y = \frac{120 - 6x}{2}
   \]

3. Simplify the expression:
   \[
   y = 60 - 3x
   \]

Thus, the solution for \( y \) is:
\[
y = 60 - 3x
\]

Would you like more details or further clarification?

Here are 5 related questions:
1. How would you solve for \( x \) instead of \( y \)?
2. What is the value of \( y \) if \( x = 10 \)?
3. How would you graph the equation \( y = 60 - 3x \)?
4. Can you rewrite the equation in slope-intercept form?
5. How does changing the coefficient of \( x \) affect the equation?

**Tip:** Always double-check your final step when isolating a variable, as small arithmetic errors can lead to incorrect results.

Learn how to solve the linear equation 6x + 2y = 120 for y with a step-by-step guide. This problem introduces key algebraic concepts like isolating variables and solving for y, suitable for students in Grades 6-8.

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