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

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


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

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

Combine like terms: 1 + -2 = -1
2 + y = 3 + -2[-1 + -2y]
2 + y = 3 + [-1 * -2 + -2y * -2]
2 + y = 3 + [2 + 4y]

Combine like terms: 3 + 2 = 5
2 + y = 5 + 4y

Solving
2 + y = 5 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
2 + y + -4y = 5 + 4y + -4y

Combine like terms: y + -4y = -3y
2 + -3y = 5 + 4y + -4y

Combine like terms: 4y + -4y = 0
2 + -3y = 5 + 0
2 + -3y = 5

Add '-2' to each side of the equation.
2 + -2 + -3y = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -3y = 5 + -2
-3y = 5 + -2

Combine like terms: 5 + -2 = 3
-3y = 3

Divide each side by '-3'.
y = -1

Simplifying
y = -1

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