Solve y+2/9=-26/11

$$y + \frac { 2 } { 9 } = \frac { - 26 } { 11 }$$

Solve for y

$$y = -\frac{256}{99} = -2\frac{58}{99} \approx -2.585858586$$

Steps for Solving Linear Equation

Fraction \frac{-26}{11} can be rewritten as -\frac{26}{11} by extracting the negative sign.

$$y+\frac{2}{9}=-\frac{26}{11}$$

Subtract \frac{2}{9} from both sides.

$$y=-\frac{26}{11}-\frac{2}{9}$$

Least common multiple of 11 and 9 is 99. Convert -\frac{26}{11} and \frac{2}{9} to fractions with denominator 99.

$$y=-\frac{234}{99}-\frac{22}{99}$$

Since -\frac{234}{99} and \frac{22}{99} have the same denominator, subtract them by subtracting their numerators.

$$y=\frac{-234-22}{99}$$

Subtract 22 from -234 to get -256.

$$y=-\frac{256}{99}$$