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.

Learn how to solve the linear equation -4y = -6 with a step-by-step solution. This problem covers key algebraic concepts, including isolating the variable and simplifying fractions. Suitable for students in Grades 6-8.

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