To solve the equation \( 3x + 2y = -14 \), we can express one variable in terms of the other, or we can explore different methods depending on what you're looking for:

### Step 1: Express one variable in terms of the other
Let's solve for \( y \) in terms of \( x \):
\[
3x + 2y = -14
\]
Subtract \( 3x \) from both sides:
\[
2y = -14 - 3x
\]
Now, divide both sides by 2 to isolate \( y \):
\[
y = \frac{-14 - 3x}{2}
\]
This is the equation for \( y \) in terms of \( x \), giving us the possible values of \( y \) depending on the value of \( x \).

### Example: If \( x = 0 \):
\[
y = \frac{-14 - 3(0)}{2} = \frac{-14}{2} = -7
\]
So, when \( x = 0 \), \( y = -7 \).

Would you like to:
1. Solve this equation for a specific \( x \) or \( y \)?
2. Graph the equation?
3. Find the intercepts?
4. Learn more about systems of linear equations?
5. Explore another method like substitution?

**Tip:** Linear equations like this can be easily visualized by graphing them, which can help you understand the relationship between \( x \) and \( y \).

Explore how to solve the linear equation 3x + 2y = -14 by isolating variables and analyzing relationships between x and y. This detailed solution demonstrates how to express y in terms of x and includes practical examples for students in Grades 8-10.

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