Solve 41/13y+3/26=8/13y-25/26

$$\frac { 41 } { 13 } y + \frac { 3 } { 26 } = \frac { 8 } { 13 } y - \frac { 25 } { 26 }$$

Solve for y

$$y=-\frac{14}{33}\approx -0.424242424$$

Steps for Solving Linear Equation

Subtract \frac{8}{13}y from both sides.

$$\frac{41}{13}y+\frac{3}{26}-\frac{8}{13}y=-\frac{25}{26}$$

Combine \frac{41}{13}y and -\frac{8}{13}y to get \frac{33}{13}y.

$$\frac{33}{13}y+\frac{3}{26}=-\frac{25}{26}$$

Subtract \frac{3}{26} from both sides.

$$\frac{33}{13}y=-\frac{25}{26}-\frac{3}{26}$$

Since -\frac{25}{26} and \frac{3}{26} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33}{13}y=\frac{-25-3}{26}$$

Subtract 3 from -25 to get -28.

$$\frac{33}{13}y=\frac{-28}{26}$$

Reduce the fraction \frac{-28}{26} to lowest terms by extracting and canceling out 2.

$$\frac{33}{13}y=-\frac{14}{13}$$

Multiply both sides by \frac{13}{33}, the reciprocal of \frac{33}{13}.

$$y=-\frac{14}{13}\times \frac{13}{33}$$

Multiply -\frac{14}{13} times \frac{13}{33} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{-14\times 13}{13\times 33}$$

Cancel out 13 in both numerator and denominator.

$$y=\frac{-14}{33}$$

Fraction \frac{-14}{33} can be rewritten as -\frac{14}{33} by extracting the negative sign.

$$y=-\frac{14}{33}$$