\(\frac{4}{9}\) (9y + 3) = g Use the Distributive Property
\(\frac{4 (9y)}{9}\) + \(\frac{4 (3)}{9}\) = g Simplify the numerators
\(\frac{36y}{9}\) + \(\frac{12}{9}\) = g Simplify the fractions
\(\frac{4y}{1}\) + \(\frac{4}{3}\) = g Subtract \(\frac{4}{3}\) from both sides
4y = g - \(\frac{4}{3}\) Divide both sides by 4
When you divide a fraction by a number, you're actually just multiplying the fraction by the reciprocal of the number. So, \(\frac{4}{3}\) ÷ 4 is actually just \(\frac{4}{3}\) x \(\frac{1}{4}\).
y = \(\frac{g}{4}\) - \(\frac{1}{3}\)