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

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

Solve for y

$$y=-4$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$3\left(y+2\right)-2\left(2y-1\right)=12$$

Use the distributive property to multiply 3 by y+2.

$$3y+6-2\left(2y-1\right)=12$$

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

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

Combine 3y and -4y to get -y.

$$-y+6+2=12$$

Add 6 and 2 to get 8.

$$-y+8=12$$

Subtract 8 from both sides.

$$-y=12-8$$

Subtract 8 from 12 to get 4.

$$-y=4$$

Multiply both sides by -1.

$$y=-4$$