Solve 3-3y/2=1-6y/6

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

Solve for y

$$y = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,6.

$$3\left(3-3y\right)=1-6y$$

Use the distributive property to multiply 3 by 3-3y.

$$9-9y=1-6y$$

Add 6y to both sides.

$$9-9y+6y=1$$

Combine -9y and 6y to get -3y.

$$9-3y=1$$

Subtract 9 from both sides.

$$-3y=1-9$$

Subtract 9 from 1 to get -8.

$$-3y=-8$$

Divide both sides by -3.

$$y=\frac{-8}{-3}$$

Fraction \frac{-8}{-3} can be simplified to \frac{8}{3} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{8}{3}$$