[tex] \frac{4}{3y} = 48 \\ [/tex]
Inverse both sides
[tex] \frac{3y}{4} = \frac{1}{48} \\ [/tex]
Multiply both sides by 4
[tex]4 \times \frac{3y}{4} = 4 \times \frac{1}{48} \\ [/tex]
[tex]3y = \frac{4}{48} \\ [/tex]
[tex]3y = \frac{4 \times 1}{4 \times 12} \\ [/tex]
[tex]3y = \frac{1}{12} \\ [/tex]
Divide both sides by 3
[tex]3y \div 3 = \frac{1}{12} \div 3 \\ [/tex]
[tex]y = \frac{1}{12} \times \frac{1}{3} \\ [/tex]
[tex]y = \frac{1}{36} \\ [/tex]
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[tex] \frac{4}{3} y = 48 \\ [/tex]
Multiply both sides by the 3
[tex] 3 \times \frac{4}{3} y = 3 \times 48 \\ [/tex]
[tex]4y = 3 \times 48[/tex]
Divide both sides by 4
[tex]4y \div 4 = 3 \times 48 \div 4[/tex]
[tex]y = \frac{48 \times 3}{4} \\ [/tex]
[tex]y = \frac{4 \times 12 \times 3}{4 \times 1} \\ [/tex]
[tex]y = 12 \times 3[/tex]
[tex]y = 36[/tex]
