Solve 2/3left(y-1right)=1/6

$$\frac{ 2 }{ 3 } \left( y-1 \right) = \frac{ 1 }{ 6 }$$

Solve for y

$$y = \frac{5}{4} = 1\frac{1}{4} = 1.25$$

Steps for Solving Linear Equation

Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.

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

Multiply \frac{1}{6} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 3}{6\times 2}.

$$y-1=\frac{3}{12}$$

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

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

Add 1 to both sides.

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

Convert 1 to fraction \frac{4}{4}.

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

Since \frac{1}{4} and \frac{4}{4} have the same denominator, add them by adding their numerators.

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

Add 1 and 4 to get 5.

$$y=\frac{5}{4}$$