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

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


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

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

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

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

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

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

Combine like terms: 10 + 7 = 17
17 + 6y = 0

Solving
17 + 6y = 0

Solving for variable 'y'.

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

Add '-17' to each side of the equation.
17 + -17 + 6y = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 6y = 0 + -17
6y = 0 + -17

Combine like terms: 0 + -17 = -17
6y = -17

Divide each side by '6'.
y = -2.833333333

Simplifying
y = -2.833333333

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