Solve for y 7y+4=3-2y

$7 y + 4 = 3 - 2 y$

Step 1

Move all terms containing $y$ to the left side of the equation.

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

$7 y + 4 + 2 y = 3$

Add $7 y$ and $2 y$ .

$9 y + 4 = 3$

Step 2

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

Subtract $4$ from both sides of the equation.

$9 y = 3 - 4$

Subtract $4$ from $3$ .

$9 y = - 1$

Step 3

Divide each term in $9 y = - 1$ by $9$ and simplify.

Divide each term in $9 y = - 1$ by $9$ .

$\frac{9 y}{9} = \frac{- 1}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 y}{9} = \frac{- 1}{9}$

Divide $y$ by $1$ .

$y = \frac{- 1}{9}$

Simplify the right side.

Move the negative in front of the fraction.

$y = - \frac{1}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{1}{9}$

Decimal Form:

$y = - 0.\overline{1}$