Answer
$y$
Work Step by Step
Simplifying the denominator of the given expression results in
$$\begin{aligned}
\frac{x+y}{\frac{y+x}{y}}
.\end{aligned}$$
Multiplying by the reciprocal of the divisor, the expression above is equivalent to
$$\begin{aligned}
\frac{x+y}{\frac{y+x}{y}}
&=
(x+y)\div\left(\frac{y+x}{y}\right)
\\&=
(x+y)\cdot\left(\frac{y}{y+x}\right)
.\end{aligned}$$
Cancelling the common factor between the numerator and the denominator, the expression above is equivalent to
$$\begin{aligned}
&\color{red}{(x+y)}\cdot\left(\frac{y}{\color{red}{y+x}}\right)
\\&=
y.\end{aligned}$$Hence, the given expression simplifies to $y$.
