8y+3-3(-2y-1)=2(y-1)

Solution for 8y+3-3(-2y-1)=2(y-1) equation:

Simplifying
8y + 3 + -3(-2y + -1) = 2(y + -1)

Reorder the terms:
8y + 3 + -3(-1 + -2y) = 2(y + -1)
8y + 3 + (-1 * -3 + -2y * -3) = 2(y + -1)
8y + 3 + (3 + 6y) = 2(y + -1)

Reorder the terms:
3 + 3 + 8y + 6y = 2(y + -1)

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

Combine like terms: 8y + 6y = 14y
6 + 14y = 2(y + -1)

Reorder the terms:
6 + 14y = 2(-1 + y)
6 + 14y = (-1 * 2 + y * 2)
6 + 14y = (-2 + 2y)

Solving
6 + 14y = -2 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
6 + 14y + -2y = -2 + 2y + -2y

Combine like terms: 14y + -2y = 12y
6 + 12y = -2 + 2y + -2y

Combine like terms: 2y + -2y = 0
6 + 12y = -2 + 0
6 + 12y = -2

Add '-6' to each side of the equation.
6 + -6 + 12y = -2 + -6

Combine like terms: 6 + -6 = 0
0 + 12y = -2 + -6
12y = -2 + -6

Combine like terms: -2 + -6 = -8
12y = -8

Divide each side by '12'.
y = -0.6666666667

Simplifying
y = -0.6666666667