1. **Problem:** Given the binary operation $x * y = 5y - 3x$, find the value of $3 * 2$.
2. **Formula:** The operation is defined as $x * y = 5y - 3x$.
3. **Step 1:** Substitute $x = 3$ and $y = 2$ into the formula:
$$3 * 2 = 5(2) - 3(3)$$
4. **Step 2:** Calculate each term:
$$5(2) = 10$$
$$3(3) = 9$$
5. **Step 3:** Substitute back:
$$3 * 2 = 10 - 9$$
6. **Step 4:** Simplify:
$$3 * 2 = 1$$
**Answer:** The value of $3 * 2$ is $1$.
Binary Operation 705Ea2
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