## Algebra 1

$y=\frac{8}{15}x$
We are trying to isolate $y$ in the equation $\frac{3}{2}y=\frac{4}{5}x$ We multiply by $\frac{2}{3}$, the reciprocal of $\frac{3}{2}$, on both sides of the equation: $\frac{2}{3}\times\frac{3}{2}y=\frac{2}{3}\times\frac{4}{5}x$ To multiply fractions, we multiply both the numerator and the denominator: $y=\frac{8}{15}x$