2y+4-2(-8y-3)=6(y-1)

Solution for 2y+4-2(-8y-3)=6(y-1) equation:

Simplifying
2y + 4 + -2(-8y + -3) = 6(y + -1)

Reorder the terms:
2y + 4 + -2(-3 + -8y) = 6(y + -1)
2y + 4 + (-3 * -2 + -8y * -2) = 6(y + -1)
2y + 4 + (6 + 16y) = 6(y + -1)

Reorder the terms:
4 + 6 + 2y + 16y = 6(y + -1)

Combine like terms: 4 + 6 = 10
10 + 2y + 16y = 6(y + -1)

Combine like terms: 2y + 16y = 18y
10 + 18y = 6(y + -1)

Reorder the terms:
10 + 18y = 6(-1 + y)
10 + 18y = (-1 * 6 + y * 6)
10 + 18y = (-6 + 6y)

Solving
10 + 18y = -6 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
10 + 18y + -6y = -6 + 6y + -6y

Combine like terms: 18y + -6y = 12y
10 + 12y = -6 + 6y + -6y

Combine like terms: 6y + -6y = 0
10 + 12y = -6 + 0
10 + 12y = -6

Add '-10' to each side of the equation.
10 + -10 + 12y = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 12y = -6 + -10
12y = -6 + -10

Combine like terms: -6 + -10 = -16
12y = -16

Divide each side by '12'.
y = -1.333333333

Simplifying
y = -1.333333333