Solve for y y+4/9=1/2*2/3

$y + \frac{4}{9} = \frac{1}{2} \cdot \frac{2}{3}$

Step 1

Simplify $\frac{1}{2} \cdot \frac{2}{3}$ .

Rewrite.

$y + \frac{4}{9} = 0 + 0 + \frac{1}{2} \cdot \frac{2}{3}$

Simplify by adding zeros.

$y + \frac{4}{9} = \frac{1}{2} \cdot \frac{2}{3}$

Cancel the common factor of $2$ .

Cancel the common factor.

$y + \frac{4}{9} = \frac{1}{2} \cdot \frac{2}{3}$

Rewrite the expression.

$y + \frac{4}{9} = \frac{1}{3}$

Step 2

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

Subtract $\frac{4}{9}$ from both sides of the equation.

$y = \frac{1}{3} - \frac{4}{9}$

To write $\frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$y = \frac{1}{3} \cdot \frac{3}{3} - \frac{4}{9}$

Write each expression with a common denominator of $9$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{3}$ by $\frac{3}{3}$ .

$y = \frac{3}{3 \cdot 3} - \frac{4}{9}$

Multiply $3$ by $3$ .

$y = \frac{3}{9} - \frac{4}{9}$

Combine the numerators over the common denominator.

$y = \frac{3 - 4}{9}$

Subtract $4$ from $3$ .

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

Move the negative in front of the fraction.

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

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