Solve 2y+1/3-y-4/2=1+5/6y

$$\frac{ 2y+1 }{ 3 } - \frac{ y-4 }{ 2 } =1+ \frac{ 5 }{ 6 } y$$

Solve for y

$$y=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2,6.

$$2\left(2y+1\right)-3\left(y-4\right)=6+5y$$

Use the distributive property to multiply 2 by 2y+1.

$$4y+2-3\left(y-4\right)=6+5y$$

Use the distributive property to multiply -3 by y-4.

$$4y+2-3y+12=6+5y$$

Combine 4y and -3y to get y.

$$y+2+12=6+5y$$

Add 2 and 12 to get 14.

$$y+14=6+5y$$

Subtract 5y from both sides.

$$y+14-5y=6$$

Combine y and -5y to get -4y.

$$-4y+14=6$$

Subtract 14 from both sides.

$$-4y=6-14$$

Subtract 14 from 6 to get -8.

$$-4y=-8$$

Divide both sides by -4.

$$y=\frac{-8}{-4}$$

Divide -8 by -4 to get 2.

$$y=2$$