6[3y-2(y-1)]-2-7y=0

Solution for 6[3y-2(y-1)]-2-7y=0 equation:

Simplifying
6[3y + -2(y + -1)] + -2 + -7y = 0

Reorder the terms:
6[3y + -2(-1 + y)] + -2 + -7y = 0
6[3y + (-1 * -2 + y * -2)] + -2 + -7y = 0
6[3y + (2 + -2y)] + -2 + -7y = 0

Reorder the terms:
6[2 + 3y + -2y] + -2 + -7y = 0

Combine like terms: 3y + -2y = 1y
6[2 + 1y] + -2 + -7y = 0
[2 * 6 + 1y * 6] + -2 + -7y = 0
[12 + 6y] + -2 + -7y = 0

Reorder the terms:
12 + -2 + 6y + -7y = 0

Combine like terms: 12 + -2 = 10
10 + 6y + -7y = 0

Combine like terms: 6y + -7y = -1y
10 + -1y = 0

Solving
10 + -1y = 0

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + -1y = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1y = 0 + -10
-1y = 0 + -10

Combine like terms: 0 + -10 = -10
-1y = -10

Divide each side by '-1'.
y = 10

Simplifying
y = 10