5[12-3(2-y)-2y]=2(1-y)

Solution for 5[12-3(2-y)-2y]=2(1-y) equation:

Simplifying
5[12 + -3(2 + -1y) + -2y] = 2(1 + -1y)
5[12 + (2 * -3 + -1y * -3) + -2y] = 2(1 + -1y)
5[12 + (-6 + 3y) + -2y] = 2(1 + -1y)

Combine like terms: 12 + -6 = 6
5[6 + 3y + -2y] = 2(1 + -1y)

Combine like terms: 3y + -2y = 1y
5[6 + 1y] = 2(1 + -1y)
[6 * 5 + 1y * 5] = 2(1 + -1y)
[30 + 5y] = 2(1 + -1y)
30 + 5y = (1 * 2 + -1y * 2)
30 + 5y = (2 + -2y)

Solving
30 + 5y = 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.
30 + 5y + 2y = 2 + -2y + 2y

Combine like terms: 5y + 2y = 7y
30 + 7y = 2 + -2y + 2y

Combine like terms: -2y + 2y = 0
30 + 7y = 2 + 0
30 + 7y = 2

Add '-30' to each side of the equation.
30 + -30 + 7y = 2 + -30

Combine like terms: 30 + -30 = 0
0 + 7y = 2 + -30
7y = 2 + -30

Combine like terms: 2 + -30 = -28
7y = -28

Divide each side by '7'.
y = -4

Simplifying
y = -4