Solve for y 4/9(y+3)=g

$\frac{4}{9} (y + 3) = g$

Step 1

Multiply both sides of the equation by $\frac{9}{4}$ .

$\frac{9}{4} (\frac{4}{9} \cdot (y + 3)) = \frac{9}{4} g$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{9}{4} (\frac{4}{9} \cdot (y + 3))$ .

Apply the distributive property.

$\frac{9}{4} (\frac{4}{9} y + \frac{4}{9} \cdot 3) = \frac{9}{4} g$

Combine $\frac{4}{9}$ and $y$ .

$\frac{9}{4} (\frac{4 y}{9} + \frac{4}{9} \cdot 3) = \frac{9}{4} g$

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$\frac{9}{4} (\frac{4 y}{9} + \frac{4}{3 (3)} \cdot 3) = \frac{9}{4} g$

Cancel the common factor.

$\frac{9}{4} (\frac{4 y}{9} + \frac{4}{3 \cdot 3} \cdot 3) = \frac{9}{4} g$

Rewrite the expression.

$\frac{9}{4} (\frac{4 y}{9} + \frac{4}{3}) = \frac{9}{4} g$

Apply the distributive property.

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

Cancel the common factor of $9$ .

Cancel the common factor.

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

Rewrite the expression.

$\frac{1}{4} (4 y) + \frac{9}{4} \cdot \frac{4}{3} = \frac{9}{4} g$

Cancel the common factor of $4$ .

Factor $4$ out of $4 y$ .

$\frac{1}{4} (4 (y)) + \frac{9}{4} \cdot \frac{4}{3} = \frac{9}{4} g$

Cancel the common factor.

$\frac{1}{4} (4 y) + \frac{9}{4} \cdot \frac{4}{3} = \frac{9}{4} g$

Rewrite the expression.

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

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$y + \frac{3 (3)}{4} \cdot \frac{4}{3} = \frac{9}{4} g$

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $4$ .

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

Combine $\frac{9}{4}$ and $g$ .

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

Step 3

Subtract $3$ from both sides of the equation.

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

Solve for y 4/9(y+3)=g

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