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

1. **Subtract 5 from both sides** to isolate the term involving \( u \):
   \[
   Y - 5 = \frac{3}{5}u
   \]

2. **Multiply both sides by 5/3** to solve for \( u \):
   \[
   u = \frac{5}{3}(Y - 5)
   \]

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

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you solve \( Y = \frac{2}{3}u + 4 \) for \( u \)?
2. What is the value of \( u \) when \( Y = 20 \) in the equation \( Y = \frac{3}{5}u + 5 \)?
3. How do you solve an equation with multiple variables, such as \( Z = \frac{1}{2}u + \frac{1}{3}Y + 2 \)?
4. How do you graph the equation \( Y = \frac{3}{5}u + 5 \)?
5. Can you convert the linear equation \( Y = \frac{3}{5}u + 5 \) into standard form?

**Tip:** When solving for a variable, always aim to isolate it by using inverse operations like addition, subtraction, multiplication, or division.

Learn how to solve the linear equation Y = 3/5u + 5 for u with this step-by-step solution. This problem involves algebraic concepts such as isolating variables and applying inverse operations. Ideal for students in Grades 8-10.

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