Solve 9(2+3y)=39

$$9 ( 2 + 3 y ) = 39$$

Solve for y

$$y=\frac{7}{9}\approx 0.777777778$$

Steps for Solving Linear Equation

Divide both sides by 9.

$$2+3y=\frac{39}{9}$$

Reduce the fraction \frac{39}{9} to lowest terms by extracting and canceling out 3.

$$2+3y=\frac{13}{3}$$

Subtract 2 from both sides.

$$3y=\frac{13}{3}-2$$

Convert 2 to fraction \frac{6}{3}.

$$3y=\frac{13}{3}-\frac{6}{3}$$

Since \frac{13}{3} and \frac{6}{3} have the same denominator, subtract them by subtracting their numerators.

$$3y=\frac{13-6}{3}$$

Subtract 6 from 13 to get 7.

$$3y=\frac{7}{3}$$

Divide both sides by 3.

$$y=\frac{\frac{7}{3}}{3}$$

Express \frac{\frac{7}{3}}{3} as a single fraction.

$$y=\frac{7}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$y=\frac{7}{9}$$