Solve for $y$ in the equation $x+5 = \frac{3m}{y}$.

AlgebraEquation SolvingAlgebraic ManipulationVariables
2025/5/2

1. Problem Description

Solve for yy in the equation x+5=3myx+5 = \frac{3m}{y}.

2. Solution Steps

To solve for yy, we first multiply both sides of the equation by yy:
y(x+5)=y3myy(x+5) = y \cdot \frac{3m}{y}
y(x+5)=3my(x+5) = 3m
Then, divide both sides by (x+5)(x+5):
y(x+5)x+5=3mx+5\frac{y(x+5)}{x+5} = \frac{3m}{x+5}
y=3mx+5y = \frac{3m}{x+5}

3. Final Answer

y=3mx+5y = \frac{3m}{x+5}

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