Y-3[y-2(2-y)]=36

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Solution for Y-3[y-2(2-y)]=36 equation: 


Simplifying
Y + -3[y + -2(2 + -1y)] = 36
Y + -3[y + (2 * -2 + -1y * -2)] = 36
Y + -3[y + (-4 + 2y)] = 36

Reorder the terms:
Y + -3[-4 + y + 2y] = 36

Combine like terms: y + 2y = 3y
Y + -3[-4 + 3y] = 36
Y + [-4 * -3 + 3y * -3] = 36
Y + [12 + -9y] = 36

Reorder the terms:
12 + Y + -9y = 36

Solving
12 + Y + -9y = 36

Solving for variable 'Y'.

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

Add '-12' to each side of the equation.
12 + Y + -12 + -9y = 36 + -12

Reorder the terms:
12 + -12 + Y + -9y = 36 + -12

Combine like terms: 12 + -12 = 0
0 + Y + -9y = 36 + -12
Y + -9y = 36 + -12

Combine like terms: 36 + -12 = 24
Y + -9y = 24

Add '9y' to each side of the equation.
Y + -9y + 9y = 24 + 9y

Combine like terms: -9y + 9y = 0
Y + 0 = 24 + 9y
Y = 24 + 9y

Simplifying
Y = 24 + 9y

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