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The equation given is:

\[
|6y - 18| = 0
\]

### Step-by-step solution:

1. The absolute value equation \(|6y - 18| = 0\) implies that the expression inside the absolute value must be equal to zero, since the absolute value of zero is the only number that can result in zero.

2. Therefore, we set the expression inside the absolute value equal to zero:

\[
6y - 18 = 0
\]

3. Solve for \(y\):

\[
6y = 18 \quad (\text{add } 18 \text{ to both sides})
\]

\[
y = \frac{18}{6} = 3
\]

### Final Answer:
The solution is \( y = 3 \).

Would you like further explanation on this or have any other questions?

Here are 5 related questions:
1. What happens if the equation is \( |6y - 18| = 5 \)?
2. How do you solve an absolute value equation with two possible solutions?
3. What are the properties of absolute value that help in solving such equations?
4. What if the equation had been \( |6y - 18| = -3 \)? What would happen?
5. How do you graph absolute value equations?

**Tip:** For absolute value equations, if the right-hand side is negative, the equation has no solution because the absolute value is always non-negative.

Learn how to solve the absolute value equation |6y - 18| = 0 with a step-by-step explanation. This problem involves solving an algebraic equation where the absolute value of a linear expression equals zero. Suitable for students in Grades 7-9.

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