To solve for \( a \), we need to isolate it on one side of the equation. The given equation is:

\[
W = (V - ay)P
\]

### Step 1: Divide both sides by \( P \) to eliminate \( P \) from the right-hand side.

\[
\frac{W}{P} = V - ay
\]

### Step 2: Subtract \( V \) from both sides to isolate the term containing \( a \).

\[
\frac{W}{P} - V = -ay
\]

### Step 3: Divide both sides by \( -y \) to solve for \( a \).

\[
a = \frac{V - \frac{W}{P}}{y}
\]

So, the expression for \( a \) is:

\[
a = \frac{V - \frac{W}{P}}{y}
\]

Would you like any further details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How would you solve for \( V \) instead of \( a \) in the same equation?
2. What happens if \( y = 0 \) in this equation?
3. Can you rearrange this equation in a way that expresses \( P \) in terms of \( W \), \( V \), \( a \), and \( y \)?
4. How does the solution change if both \( W \) and \( V \) are functions of time?
5. What are some practical applications of transposing such equations in physics or engineering?

**Tip**: When rearranging equations, always perform operations symmetrically on both sides to maintain equality.

Learn how to transpose the equation W = (V - ay)P to solve for a. This detailed guide explains key algebraic concepts such as isolating variables and equation manipulation, perfect for students in Grades 10-12.

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