Subjects algebra

Solve Linear Equation E8D92B

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Question: User: $-3y=0$
1. **State the problem:** Solve the equation $$-3y=0$$ for the variable $y$. 2. **Formula and rules:** To solve for $y$, we need to isolate $y$ on one side of the equation. Since $y$ is multiplied by $-3$, we will divide both sides of the equation by $-3$. 3. **Intermediate work:** $$-3y=0$$ Divide both sides by $-3$: $$\frac{-3y}{\cancel{-3}}=\frac{0}{\cancel{-3}}$$ 4. **Simplify:** $$y=0$$ 5. **Explanation:** Dividing both sides by $-3$ cancels the coefficient of $y$, leaving $y$ alone. Since $0$ divided by any nonzero number is $0$, the solution is $y=0$. **Final answer:** $$y=0$$