To transpose (or rearrange) the equation \( W = (V - ay)P \) for \( a \), follow these steps:

### Step 1: Expand the equation
\[ W = (V - ay)P \]
Distribute \( P \) on the right-hand side:
\[
W = VP - ayP
\]

### Step 2: Isolate the term with \( a \)
Move the \( VP \) term to the left-hand side by subtracting \( VP \) from both sides:
\[
W - VP = -ayP
\]

### Step 3: Solve for \( a \)
Now divide both sides by \( -yP \) to isolate \( a \):
\[
a = \frac{VP - W}{yP}
\]

Thus, the solution for \( a \) is:
\[
a = \frac{VP - W}{yP}
\]

Would you like further details or clarification on this process? Here are some related questions for practice:

1. How would you solve for \( P \) in the same equation?
2. What happens if \( P = 0 \) in this equation? What does it imply about \( W \) and \( V \)?
3. How would you solve for \( y \) in the equation?
4. How does this equation change if \( V \) is a function of \( a \)?
5. How can you apply this rearrangement technique in physics problems involving forces?

**Tip:** When transposing equations, always aim to isolate the target variable by reversing the operations applied to it step by step.

Learn how to transpose the equation W = (V - ay)P for a with a clear, step-by-step guide. This algebraic transposition problem is ideal for high school students in Grades 9-12 and involves expanding, isolating terms, and solving for the variable a.

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