What is the first step to solve the equation \( \frac{3}{4}=-\frac{5}{12} y \) for \( y ? \)
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The Deep Dive
To solve the equation \( \frac{3}{4} = -\frac{5}{12} y \), the first step is to isolate \( y \) by eliminating the fraction on its left side. You can do this by multiplying both sides of the equation by the reciprocal of \(-\frac{5}{12}\), which is \(-\frac{12}{5}\). This gives you \( y \) on one side of the equation. It's always a good idea to double-check your sign when multiplying by a negative number! After performing the multiplication, keep an eye on any fraction simplifications needed before reaching the final solution for \( y \).