Solve for y 16x+9=9y-2x for y

$16 x + 9 = 9 y - 2 x$ for $y$

Rewrite the equation as $9 y - 2 x = 16 x + 9$ .

$9 y - 2 x = 16 x + 9$

Move all terms not containing $y$ to the right side of the equation.

Add $2 x$ to both sides of the equation.

$9 y = 16 x + 9 + 2 x$

Add $16 x$ and $2 x$ .

$9 y = 18 x + 9$

Divide each term in $9 y = 18 x + 9$ by $9$ and simplify.

Divide each term in $9 y = 18 x + 9$ by $9$ .

$\frac{9 y}{9} = \frac{18 x}{9} + \frac{9}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 y}{9} = \frac{18 x}{9} + \frac{9}{9}$

Divide $y$ by $1$ .

$y = \frac{18 x}{9} + \frac{9}{9}$

Simplify the right side.

Simplify each term.

Cancel the common factor of $18$ and $9$ .

Factor $9$ out of $18 x$ .

$y = \frac{9 (2 x)}{9} + \frac{9}{9}$

Cancel the common factors.

Factor $9$ out of $9$ .

$y = \frac{9 (2 x)}{9 (1)} + \frac{9}{9}$

Cancel the common factor.

$y = \frac{9 (2 x)}{9 \cdot 1} + \frac{9}{9}$

Rewrite the expression.

$y = \frac{2 x}{1} + \frac{9}{9}$

Divide $2 x$ by $1$ .

$y = 2 x + \frac{9}{9}$

Divide $9$ by $9$ .

$y = 2 x + 1$