Solve -6(2y+1)=-2

$$- 6 ( 2 y + 1 ) = - 2$$

Solve for y

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

Steps for Solving Linear Equation

Divide both sides by -6.

$$2y+1=\frac{-2}{-6}$$

Reduce the fraction \frac{-2}{-6} to lowest terms by extracting and canceling out -2.

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

Subtract 1 from both sides.

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

Convert 1 to fraction \frac{3}{3}.

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

Since \frac{1}{3} and \frac{3}{3} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 1 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.

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

Multiply 3 and 2 to get 6.

$$y=\frac{-2}{6}$$

Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.

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