The equation provided in the image is:

$-2y + 6 = -12$

Let's solve it step by step:

Step 1: Isolate the term with $y$

Subtract 6 from both sides: $-2y = -12 - 6$

Simplify: $-2y = -18$

Step 2: Solve for $y$

Divide both sides by $-2$: $y = \frac{-18}{-2}$

Simplify: $y = 9$

Final Answer:

$y = 9$

Would you like further clarification or explanation?

Related Questions:

1. What happens if you divide by a negative number in an equation?
2. How do you verify that $y = 9$ is correct in this equation?
3. What if the equation had a fraction instead of $-2y$?
4. How can you rearrange terms in equations like this without confusion?
5. How is solving multi-step equations different from simple equations?

Tip:

Always double-check your solution by substituting the value of the variable back into the original equation to verify correctness.