To make \( y \) the subject of the equation \( -3x - 4y = 12 \), follow these steps:

1. Start with the given equation:
   \[
   -3x - 4y = 12
   \]

2. Add \( 3x \) to both sides to isolate the term with \( y \) on the left side:
   \[
   -4y = 3x + 12
   \]

3. Now, divide both sides of the equation by \( -4 \) to solve for \( y \):
   \[
   y = \frac{3x + 12}{-4}
   \]

4. Simplify the right-hand side:
   \[
   y = -\frac{3x}{4} - 3
   \]

So, the equation with \( y \) as the subject is:
\[
y = -\frac{3x}{4} - 3
\]

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

Here are 5 related questions:
1. How do you solve for \( x \) in the same equation?
2. What are the steps to solve a linear equation like this?
3. Can you graph the equation \( y = -\frac{3x}{4} - 3 \)?
4. What does the slope and intercept represent in the equation?
5. How do you solve for \( y \) when the equation is more complex?

**Tip:** Always simplify terms before solving for a variable to make calculations easier.

Learn how to solve for y in the linear equation -3x - 4y = 12. This problem involves isolating a variable, simplifying the equation, and understanding key algebraic concepts. Suitable for students in Grades 7-10.

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