Solve 4(2y+1)=9

$$4 ( 2 y + 1 ) = 9$$

Solve for y

$$y=\frac{5}{8}=0.625$$

Steps for Solving Linear Equation

Divide both sides by 4.

$$2y+1=\frac{9}{4}$$

Subtract 1 from both sides.

$$2y=\frac{9}{4}-1$$

Convert 1 to fraction \frac{4}{4}.

$$2y=\frac{9}{4}-\frac{4}{4}$$

Since \frac{9}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.

$$2y=\frac{9-4}{4}$$

Subtract 4 from 9 to get 5.

$$2y=\frac{5}{4}$$

Divide both sides by 2.

$$y=\frac{\frac{5}{4}}{2}$$

Express \frac{\frac{5}{4}}{2} as a single fraction.

$$y=\frac{5}{4\times 2}$$

Multiply 4 and 2 to get 8.

$$y=\frac{5}{8}$$