Solve -9(2y-3)=1

$$- 9 ( 2 y - 3 ) = 1$$

Solve for y

$$y = \frac{13}{9} = 1\frac{4}{9} \approx 1.444444444$$

Steps for Solving Linear Equation

Divide both sides by -9.

$$2y-3=-\frac{1}{9}$$

Add 3 to both sides.

$$2y=-\frac{1}{9}+3$$

Convert 3 to fraction \frac{27}{9}.

$$2y=-\frac{1}{9}+\frac{27}{9}$$

Since -\frac{1}{9} and \frac{27}{9} have the same denominator, add them by adding their numerators.

$$2y=\frac{-1+27}{9}$$

Add -1 and 27 to get 26.

$$2y=\frac{26}{9}$$

Divide both sides by 2.

$$y=\frac{\frac{26}{9}}{2}$$

Express \frac{\frac{26}{9}}{2} as a single fraction.

$$y=\frac{26}{9\times 2}$$

Multiply 9 and 2 to get 18.

$$y=\frac{26}{18}$$

Reduce the fraction \frac{26}{18} to lowest terms by extracting and canceling out 2.

$$y=\frac{13}{9}$$