Solve 2/8y+18/24y-9/12=-7/13

$$\frac { 2 } { 8 } y + \frac { 18 } { 24 } y - \frac { 9 } { 12 } = - \frac { 7 } { 13 }$$

Solve for y

$$y=\frac{11}{52}\approx 0.211538462$$

Steps for Solving Linear Equation

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$\frac{1}{4}y+\frac{18}{24}y-\frac{9}{12}=-\frac{7}{13}$$

Reduce the fraction \frac{18}{24} to lowest terms by extracting and canceling out 6.

$$\frac{1}{4}y+\frac{3}{4}y-\frac{9}{12}=-\frac{7}{13}$$

Combine \frac{1}{4}y and \frac{3}{4}y to get y.

$$y-\frac{9}{12}=-\frac{7}{13}$$

Reduce the fraction \frac{9}{12} to lowest terms by extracting and canceling out 3.

$$y-\frac{3}{4}=-\frac{7}{13}$$

Add \frac{3}{4} to both sides.

$$y=-\frac{7}{13}+\frac{3}{4}$$

Least common multiple of 13 and 4 is 52. Convert -\frac{7}{13} and \frac{3}{4} to fractions with denominator 52.

$$y=-\frac{28}{52}+\frac{39}{52}$$

Since -\frac{28}{52} and \frac{39}{52} have the same denominator, add them by adding their numerators.

$$y=\frac{-28+39}{52}$$

Add -28 and 39 to get 11.

$$y=\frac{11}{52}$$