Final answer:
To solve the equation 2(3y - 6) = 0, you distribute the 2 in the parentheses, add 12 to both sides, and then divide by 6, yielding a value of y = 2.
Step-by-step explanation:
To solve the equation 2(3y - 6) = 0, we need to find the value of y that makes the equation true. Here are the steps to solve the equation:
- Distribute the 2 into the parentheses: 2 × 3y gives us 6y, and 2 × (-6) gives us -12, so the equation becomes 6y - 12 = 0.
- Add 12 to both sides of the equation to get 6y = 12.
- Divide both sides of the equation by 6 to solve for y, giving us y = 2.
Therefore, the value of y in the equation is 2.