Solve 5/6y-1/6=11/3

$$\frac { 5 } { 6 } y - \frac { 1 } { 6 } = \frac { 11 } { 3 }$$

Solve for y

$$y = \frac{23}{5} = 4\frac{3}{5} = 4.6$$

Steps for Solving Linear Equation

Add \frac{1}{6} to both sides.

$$\frac{5}{6}y=\frac{11}{3}+\frac{1}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{11}{3} and \frac{1}{6} to fractions with denominator 6.

$$\frac{5}{6}y=\frac{22}{6}+\frac{1}{6}$$

Since \frac{22}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\frac{5}{6}y=\frac{22+1}{6}$$

Add 22 and 1 to get 23.

$$\frac{5}{6}y=\frac{23}{6}$$

Multiply both sides by \frac{6}{5}, the reciprocal of \frac{5}{6}.

$$y=\frac{23}{6}\times \frac{6}{5}$$

Multiply \frac{23}{6} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$y=\frac{23\times 6}{6\times 5}$$

Cancel out 6 in both numerator and denominator.

$$y=\frac{23}{5}$$