To solve the equation \( y = \frac{3}{5}u + 5 \) for \( u \), follow these steps:

### Step 1: Subtract 5 from both sides.
\[
y - 5 = \frac{3}{5}u
\]

### Step 2: Multiply both sides by \( \frac{5}{3} \) to isolate \( u \).
\[
u = \frac{5}{3}(y - 5)
\]

Thus, the solution is:
\[
u = \frac{5}{3}(y - 5)
\]

Would you like further clarification or details on any step?

Here are some related questions you might explore:
1. What happens if \( y = 0 \)?
2. How would the solution change if the equation were \( y = \frac{3}{5}u + 8 \)?
3. Can you solve \( y = \frac{a}{b}u + c \) for \( u \) in general?
4. What is the interpretation of this equation in terms of a linear function?
5. How can you check the solution using substitution?

**Tip:** Always perform the same operation on both sides of the equation to maintain equality.

Learn how to solve the linear equation y = (3/5)u + 5 for u with a clear, step-by-step guide. This problem covers key algebraic concepts, including isolating a variable and solving linear equations. Ideal for students in Grades 7-10.

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