Solve for y 4y-6y+9y=-2

$4 y - 6 y + 9 y = - 2$

Step 1

Simplify $4 y - 6 y + 9 y$ .

Subtract $6 y$ from $4 y$ .

$- 2 y + 9 y = - 2$

Add $- 2 y$ and $9 y$ .

$7 y = - 2$

Step 2

Divide each term in $7 y = - 2$ by $7$ and simplify.

Divide each term in $7 y = - 2$ by $7$ .

$\frac{7 y}{7} = \frac{- 2}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 y}{7} = \frac{- 2}{7}$

Divide $y$ by $1$ .

$y = \frac{- 2}{7}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{2}{7}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{2}{7}$

Decimal Form:

$y = - 0.\overline{285714}$