2[y-(10-2y)]=4(2y+6)

Solution for 2[y-(10-2y)]=4(2y+6) equation:

Simplifying
2[y + -1(10 + -2y)] = 4(2y + 6)
2[y + (10 * -1 + -2y * -1)] = 4(2y + 6)
2[y + (-10 + 2y)] = 4(2y + 6)

Reorder the terms:
2[-10 + y + 2y] = 4(2y + 6)

Combine like terms: y + 2y = 3y
2[-10 + 3y] = 4(2y + 6)
[-10 * 2 + 3y * 2] = 4(2y + 6)
[-20 + 6y] = 4(2y + 6)

Reorder the terms:
-20 + 6y = 4(6 + 2y)
-20 + 6y = (6 * 4 + 2y * 4)
-20 + 6y = (24 + 8y)

Solving
-20 + 6y = 24 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-20 + 6y + -8y = 24 + 8y + -8y

Combine like terms: 6y + -8y = -2y
-20 + -2y = 24 + 8y + -8y

Combine like terms: 8y + -8y = 0
-20 + -2y = 24 + 0
-20 + -2y = 24

Add '20' to each side of the equation.
-20 + 20 + -2y = 24 + 20

Combine like terms: -20 + 20 = 0
0 + -2y = 24 + 20
-2y = 24 + 20

Combine like terms: 24 + 20 = 44
-2y = 44

Divide each side by '-2'.
y = -22

Simplifying
y = -22