Solve 3(2y+4)/14=1

$$\frac { 3 ( 2 y + 4 ) } { 14 } = 1$$

Solve for y

$$y=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Multiply both sides by 14.

$$3\left(2y+4\right)=14$$

Divide both sides by 3.

$$2y+4=\frac{14}{3}$$

Subtract 4 from both sides.

$$2y=\frac{14}{3}-4$$

Convert 4 to fraction \frac{12}{3}.

$$2y=\frac{14}{3}-\frac{12}{3}$$

Since \frac{14}{3} and \frac{12}{3} have the same denominator, subtract them by subtracting their numerators.

$$2y=\frac{14-12}{3}$$

Subtract 12 from 14 to get 2.

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

Divide both sides by 2.

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

Express \frac{\frac{2}{3}}{2} as a single fraction.

$$y=\frac{2}{3\times 2}$$

Cancel out 2 in both numerator and denominator.

$$y=\frac{1}{3}$$