6(y-1)=8y+1-2(-2y-1)

Solution for 6(y-1)=8y+1-2(-2y-1) equation:

Simplifying
6(y + -1) = 8y + 1 + -2(-2y + -1)

Reorder the terms:
6(-1 + y) = 8y + 1 + -2(-2y + -1)
(-1 * 6 + y * 6) = 8y + 1 + -2(-2y + -1)
(-6 + 6y) = 8y + 1 + -2(-2y + -1)

Reorder the terms:
-6 + 6y = 8y + 1 + -2(-1 + -2y)
-6 + 6y = 8y + 1 + (-1 * -2 + -2y * -2)
-6 + 6y = 8y + 1 + (2 + 4y)

Reorder the terms:
-6 + 6y = 1 + 2 + 8y + 4y

Combine like terms: 1 + 2 = 3
-6 + 6y = 3 + 8y + 4y

Combine like terms: 8y + 4y = 12y
-6 + 6y = 3 + 12y

Solving
-6 + 6y = 3 + 12y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-12y' to each side of the equation.
-6 + 6y + -12y = 3 + 12y + -12y

Combine like terms: 6y + -12y = -6y
-6 + -6y = 3 + 12y + -12y

Combine like terms: 12y + -12y = 0
-6 + -6y = 3 + 0
-6 + -6y = 3

Add '6' to each side of the equation.
-6 + 6 + -6y = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -6y = 3 + 6
-6y = 3 + 6

Combine like terms: 3 + 6 = 9
-6y = 9

Divide each side by '-6'.
y = -1.5

Simplifying
y = -1.5