Solve 2y+5/6-1=3y-2/8

$$\frac { 2 y + 5 } { 6 } - 1 = \frac { 3 y - 2 } { 8 }$$

Solve for y

$$y=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 24, the least common multiple of 6,8.

$$4\left(2y+5\right)-24=3\left(3y-2\right)$$

Use the distributive property to multiply 4 by 2y+5.

$$8y+20-24=3\left(3y-2\right)$$

Subtract 24 from 20 to get -4.

$$8y-4=3\left(3y-2\right)$$

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

$$8y-4=9y-6$$

Subtract 9y from both sides.

$$8y-4-9y=-6$$

Combine 8y and -9y to get -y.

$$-y-4=-6$$

Add 4 to both sides.

$$-y=-6+4$$

Add -6 and 4 to get -2.

$$-y=-2$$

Multiply both sides by -1.

$$y=2$$