To solve the equation $10x - 2y = -6$, let's solve for $y$ in terms of $x$.

Step-by-step:

1. Start with the given equation: $10x - 2y = -6$

2. Isolate $-2y$ by subtracting $10x$ from both sides: $-2y = -10x - 6$

3. Divide everything by $-2$ to solve for $y$: $y = \frac{-10x - 6}{-2}$

4. Simplify the equation: $y = 5x + 3$

Final Solution:

$y = 5x + 3$

Would you like more details or have any questions?

Here are 5 related questions for practice:

1. What is the slope and y-intercept of the equation $y = 5x + 3$?
2. How would you graph $y = 5x + 3$?
3. Can you rewrite $10x - 2y = -6$ in standard form $Ax + By = C$?
4. How does the equation change if the coefficient of $x$ becomes negative?
5. Solve for $x$ when $y = 7$ in the equation $y = 5x + 3$.

Tip: When solving for one variable in terms of another, focus on isolating the variable step by step!