3+2(y-(2y+2))=2(y+(3y-1))

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

Simplifying
3 + 2(y + -1(2y + 2)) = 2(y + (3y + -1))

Reorder the terms:
3 + 2(y + -1(2 + 2y)) = 2(y + (3y + -1))
3 + 2(y + (2 * -1 + 2y * -1)) = 2(y + (3y + -1))
3 + 2(y + (-2 + -2y)) = 2(y + (3y + -1))

Reorder the terms:
3 + 2(-2 + y + -2y) = 2(y + (3y + -1))

Combine like terms: y + -2y = -1y
3 + 2(-2 + -1y) = 2(y + (3y + -1))
3 + (-2 * 2 + -1y * 2) = 2(y + (3y + -1))
3 + (-4 + -2y) = 2(y + (3y + -1))

Combine like terms: 3 + -4 = -1
-1 + -2y = 2(y + (3y + -1))

Reorder the terms:
-1 + -2y = 2(y + (-1 + 3y))

Remove parenthesis around (-1 + 3y)
-1 + -2y = 2(y + -1 + 3y)

Reorder the terms:
-1 + -2y = 2(-1 + y + 3y)

Combine like terms: y + 3y = 4y
-1 + -2y = 2(-1 + 4y)
-1 + -2y = (-1 * 2 + 4y * 2)
-1 + -2y = (-2 + 8y)

Solving
-1 + -2y = -2 + 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.
-1 + -2y + -8y = -2 + 8y + -8y

Combine like terms: -2y + -8y = -10y
-1 + -10y = -2 + 8y + -8y

Combine like terms: 8y + -8y = 0
-1 + -10y = -2 + 0
-1 + -10y = -2

Add '1' to each side of the equation.
-1 + 1 + -10y = -2 + 1

Combine like terms: -1 + 1 = 0
0 + -10y = -2 + 1
-10y = -2 + 1

Combine like terms: -2 + 1 = -1
-10y = -1

Divide each side by '-10'.
y = 0.1

Simplifying
y = 0.1