To solve for \( y \) in the equation \( x = \frac{1}{2}y \), follow these steps:

1. Start with the equation:  
   \[
   x = \frac{1}{2}y
   \]
   
2. To isolate \( y \), multiply both sides of the equation by 2 to get rid of the fraction:
   \[
   2x = y
   \]

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

Would you like any further details or have any questions?

Here are 5 related questions to explore:

1. What happens if \( x \) is negative in the equation?
2. How would you solve for \( y \) if the equation was \( x = \frac{3}{4}y \)?
3. Can you graph the equation \( y = 2x \) and describe its properties?
4. How does the solution change if the coefficient of \( y \) was a different fraction, like \( \frac{1}{3} \)?
5. How would you solve the equation \( x = \frac{1}{2}(y + 3) \) for \( y \)?

**Tip:** When solving equations with fractions, multiplying both sides by the denominator can quickly eliminate the fraction and simplify your solution!

Learn how to solve the linear equation x = 1/2y with a detailed, step-by-step solution. This problem introduces basic algebraic concepts, such as solving for a variable and eliminating fractions, making it suitable for students in Grades 6-8.

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