Let's solve the equation step by step:

$-6(y - 2) = 4(y - 9)$

Step 1: Distribute on both sides

Distribute $-6$ and $4$ to the terms inside the parentheses:

$-6 \cdot y + 12 = 4 \cdot y - 36$

This simplifies to:

$-6y + 12 = 4y - 36$

Step 2: Move all terms involving $y$ to one side

Add $6y$ to both sides to bring the $y$-terms together:

$12 = 10y - 36$

Step 3: Move the constant terms to the other side

Add 36 to both sides to move the constant to the other side:

$48 = 10y$

Step 4: Solve for $y$

Now, divide both sides by 10:

$y = \frac{48}{10} = 4.8$

Thus, the solution is:

$y = 4.8$

Would you like a detailed explanation of any step or have any further questions?

Here are 5 related questions for practice:

1. Solve $-5(x + 3) = 2(x - 4)$.
2. Solve $7(2x - 1) = 3(x + 4)$.
3. If $-3(y - 5) = 9(y + 2)$, what is $y$?
4. Solve for $y$: $4(3y + 1) = 5(y - 6)$.
5. What is the solution to $-8(x - 7) = 5(x + 2)$?

Tip: Always distribute carefully when solving equations with parentheses to avoid mistakes.