[tex] \frac{4}{9} [/tex] (9y + 3) = g Use the Distributive Property
[tex] \frac{4 (9y)}{9} [/tex] + [tex] \frac{4 (3)}{9} [/tex] = g Simplify the numerators
[tex] \frac{36y}{9} [/tex] + [tex] \frac{12}{9} [/tex] = g Simplify the fractions
[tex] \frac{4y}{1} [/tex] + [tex] \frac{4}{3} [/tex] = g Subtract [tex] \frac{4}{3} [/tex] from both sides
4y = g - [tex] \frac{4}{3}[/tex] 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, [tex] \frac{4}{3}[/tex] ÷ 4 is actually just [tex] \frac{4}{3}[/tex] x [tex] \frac{1}{4}[/tex].
y = [tex] \frac{g}{4}[/tex] - [tex] \frac{1}{3}[/tex]
