To solve the equation \( 2y = 4(a - 1) \) for \( y \):

1. Divide both sides of the equation by 2 to isolate \( y \):
\[ y = \frac{4(a - 1)}{2} \]

2. Simplify the right side:
\[ y = 2(a - 1) \]

3. Distribute the 2 on the right side:
\[ y = 2a - 2 \]

So, the solution is:
\[ y = 2a - 2 \]

Would you like further details or have any questions about this problem? Here are five more questions you might find interesting:

1. How do you solve the equation \(3x + 5 = 2x - 7\)?
2. What is the derivative of \(f(x) = x^3 - 5x + 2\)?
3. How do you integrate the function \( \int (3x^2 - 2x + 1) \, dx \)?
4. What are the solutions to the quadratic equation \(x^2 - 4x + 4 = 0\)?
5. How do you find the limit of \( \lim_{{x \to \infty}} \frac{3x^2 + 2}{x^2 - 1} \)?

**Tip:** When simplifying algebraic expressions, always look for common factors that can be factored out to make the equation easier to handle.

Learn how to solve the equation 2y = 4(a - 1) step-by-step with a detailed solution. This problem covers key algebraic concepts, including equation solving and distribution. Suitable for high school students.

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