Solve 2y+2/3=1/6

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

Solve for y

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

Steps for Solving Linear Equation

Subtract \frac{2}{3} from both sides.

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

Least common multiple of 6 and 3 is 6. Convert \frac{1}{6} and \frac{2}{3} to fractions with denominator 6.

$$2y=\frac{1}{6}-\frac{4}{6}$$

Since \frac{1}{6} and \frac{4}{6} have the same denominator, subtract them by subtracting their numerators.

$$2y=\frac{1-4}{6}$$

Subtract 4 from 1 to get -3.

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

Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.

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

Divide both sides by 2.

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

Express \frac{-\frac{1}{2}}{2} as a single fraction.

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

Multiply 2 and 2 to get 4.

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

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

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