To simplify the expression \((3y - 5x):(5x - 3y)\), we can rewrite it as a fraction:
\[ \frac{3y - 5x}{5x - 3y} \]
Notice that the denominator \(5x - 3y\) can be rewritten as \(- (3y - 5x)\):
\[ 5x - 3y = - (3y - 5x) \]
So, we can substitute that into the fraction:
\[ \frac{3y - 5x}{5x - 3y} = \frac{3y - 5x}{- (3y - 5x)} = -1 \]
Thus, the simplified form of the expression \((3y - 5x):(5x - 3y)\) is:
\[ -1 \]
