The equation given is:

\[
-(7x + 0.6) = 3.6 - y
\]

Let's solve for \( y \).

### Step 1: Distribute the negative sign on the left side.
\[
-7x - 0.6 = 3.6 - y
\]

### Step 2: Move \( y \) to the left side and the terms involving \( x \) and constants to the right side.
\[
y = 3.6 + 7x + 0.6
\]

### Step 3: Combine like terms on the right side.
\[
y = 4.2 + 7x
\]

So, the equation solved for \( y \) is:
\[
y = 7x + 4.2
\]

Would you like further details on any specific step or more explanation?

Here are 5 questions to deepen your understanding:
1. How would you solve this equation if you were asked to isolate \( x \) instead of \( y \)?
2. What happens if you substitute a specific value for \( x \) in the final equation?
3. Can you rewrite the equation \( y = 7x + 4.2 \) in standard form (Ax + By = C)?
4. How can you graph this linear equation, and what would its slope and y-intercept be?
5. How would the equation change if the constant on the right side of the original equation were different?

**Tip:** Always check your solution by plugging it back into the original equation to verify your result.

Learn how to solve the linear equation (7x + 0.6) = 3.6 - y by isolating the variable y. This solution demonstrates algebraic techniques such as distributing and rearranging terms. Suitable for students in Grades 7-9.

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