To solve for \( x \) in the equation \( y = x + 6 \):

1. Start with the given equation:
   \[
   y = x + 6
   \]

2. Subtract 6 from both sides to isolate \( x \):
   \[
   x = y - 6
   \]

Thus, the solution is:
\[
x = y - 6
\]

Would you like more details, or do you have any questions?

Here are some related questions:
1. If \( y = 10 \), what is the value of \( x \)?
2. How would you graph the equation \( y = x + 6 \)?
3. What is the slope of the equation \( y = x + 6 \)?
4. How would the equation change if the constant was different, say \( y = x + 4 \)?
5. Can you express \( x = y - 6 \) in terms of other variables?

**Tip**: Always check your solution by substituting it back into the original equation.

Learn how to solve the linear equation y = x + 6 for x with a detailed step-by-step solution. This problem covers key algebraic concepts such as solving for variables and manipulating linear equations. Suitable for students in Grades 6-8.

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