Solve for y ny+nx=0

$n y + n x = 0$

Subtract $n x$ from both sides of the equation.

$n y = - n x$

Divide each term in $n y = - n x$ by $n$ and simplify.

Divide each term in $n y = - n x$ by $n$ .

$\frac{n y}{n} = \frac{- n x}{n}$

Simplify the left side.

Cancel the common factor of $n$ .

Cancel the common factor.

$\frac{n y}{n} = \frac{- n x}{n}$

Divide $y$ by $1$ .

$y = \frac{- n x}{n}$

Simplify the right side.

Cancel the common factor of $n$ .

Cancel the common factor.

$y = \frac{- n x}{n}$

Divide $- 1 x$ by $1$ .

$y = - 1 x$

Rewrite $- 1 x$ as $- x$ .

$y = - x$