Solve -2/3y-2y=-1/2-1/6

$$- \frac{ 2 }{ 3 } y-2y=- \frac{ 1 }{ 2 } - \frac{ 1 }{ 6 }$$

Solve for y

$$y=\frac{1}{4}=0.25$$

Steps for Solving Linear Equation

Combine -\frac{2}{3}y and -2y to get -\frac{8}{3}y.

$$-\frac{8}{3}y=-\frac{1}{2}-\frac{1}{6}$$

Least common multiple of 2 and 6 is 6. Convert -\frac{1}{2} and \frac{1}{6} to fractions with denominator 6.

$$-\frac{8}{3}y=-\frac{3}{6}-\frac{1}{6}$$

Since -\frac{3}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{8}{3}y=\frac{-3-1}{6}$$

Subtract 1 from -3 to get -4.

$$-\frac{8}{3}y=\frac{-4}{6}$$

Reduce the fraction \frac{-4}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{8}{3}y=-\frac{2}{3}$$

Multiply both sides by -\frac{3}{8}, the reciprocal of -\frac{8}{3}.

$$y=-\frac{2}{3}\left(-\frac{3}{8}\right)$$

Multiply -\frac{2}{3} times -\frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{-2\left(-3\right)}{3\times 8}$$

Do the multiplications in the fraction \frac{-2\left(-3\right)}{3\times 8}.

$$y=\frac{6}{24}$$

Reduce the fraction \frac{6}{24} to lowest terms by extracting and canceling out 6.

$$y=\frac{1}{4}$$