To solve the equation $-4y = -6$, follow these steps:

1. Divide both sides of the equation by $-4$ to isolate $y$: $y = \frac{-6}{-4}$

2. Simplify the fraction: $y = \frac{3}{2}$

Thus, the solution is $y = \frac{3}{2}$.

Would you like any further details or have questions?

Here are five related questions to expand your understanding:

1. How would you solve $5y = 10$?
2. What if the equation was $-8y = 16$? What would $y$ be?
3. How do you solve an equation like $4y + 2 = 10$?
4. Can you solve for $y$ in the equation $\frac{y}{3} = 5$?
5. How would you graph the equation $y = \frac{3}{2}$?

Tip: When solving equations, dividing both sides by the same non-zero number keeps the equality balanced.