Solve y+5=-3/3(n-2)

$$y + 5 = \frac { - 3 } { 3 } ( n - 2 )$$

Solve for n

$$n=-\left(y+3\right)$$

Steps for Solving Linear Equation

Divide -3 by 3 to get -1.

$$y+5=-\left(n-2\right)$$

To find the opposite of n-2, find the opposite of each term.

$$y+5=-n+2$$

Swap sides so that all variable terms are on the left hand side.

$$-n+2=y+5$$

Subtract 2 from both sides.

$$-n=y+5-2$$

Subtract 2 from 5 to get 3.

$$-n=y+3$$

Divide both sides by -1.

$$\frac{-n}{-1}=\frac{y+3}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$n=\frac{y+3}{-1}$$

Divide y+3 by -1.

$$n=-\left(y+3\right)$$

Solve for y

$$y=-\left(n+3\right)$$

Solution Steps

Divide -3 by 3 to get -1.

$$y+5=-\left(n-2\right)$$

To find the opposite of n-2, find the opposite of each term.

$$y+5=-n+2$$

Subtract 5 from both sides.

$$y=-n+2-5$$

Subtract 5 from 2 to get -3.

$$y=-n-3$$