Here, we are interested in making y the subject of the formula;
To make a particular variable the subject of the formula, it means to rewrite the equation with the particular variable on the left hand side of the equation.
Thus;
[tex]\begin{gathered} 9y\text{ - 26 = }\frac{-9(x-2)}{10} \\ \\ 9y\text{ = 26 + }\frac{-9(x-2)}{10} \\ \\ \text{Divide through by 9} \\ \\ y\text{ = }\frac{26}{9}\text{ - }\frac{9(x-2)}{10(9)} \\ \\ \\ y\text{ = }\frac{26}{9\text{ }}\text{ - }\frac{(x-2)}{10} \\ \\ \\ y\text{ = }\frac{26}{9}\text{ + }\frac{(2-x)}{10} \\ \\ \text{The lowest common multiple of the denominators is 90} \\ \\ y\text{ = }\frac{10(26)\text{ + 9(2-x)}}{90} \\ \\ y\text{ = }\frac{260\text{ + 18 - 9x}}{90} \\ \\ y\text{ = }\frac{278\text{ -9x}}{90} \end{gathered}[/tex]
