(2Y-(3Y-4)+5Y-6)+10Y=(12Y-15)+36

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Solution for (2Y-(3Y-4)+5Y-6)+10Y=(12Y-15)+36 equation: 


Simplifying
(2Y + -1(3Y + -4) + 5Y + -6) + 10Y = (12Y + -15) + 36

Reorder the terms:
(2Y + -1(-4 + 3Y) + 5Y + -6) + 10Y = (12Y + -15) + 36
(2Y + (-4 * -1 + 3Y * -1) + 5Y + -6) + 10Y = (12Y + -15) + 36
(2Y + (4 + -3Y) + 5Y + -6) + 10Y = (12Y + -15) + 36

Reorder the terms:
(4 + -6 + 2Y + -3Y + 5Y) + 10Y = (12Y + -15) + 36

Combine like terms: 4 + -6 = -2
(-2 + 2Y + -3Y + 5Y) + 10Y = (12Y + -15) + 36

Combine like terms: 2Y + -3Y = -1Y
(-2 + -1Y + 5Y) + 10Y = (12Y + -15) + 36

Combine like terms: -1Y + 5Y = 4Y
(-2 + 4Y) + 10Y = (12Y + -15) + 36

Remove parenthesis around (-2 + 4Y)
-2 + 4Y + 10Y = (12Y + -15) + 36

Combine like terms: 4Y + 10Y = 14Y
-2 + 14Y = (12Y + -15) + 36

Reorder the terms:
-2 + 14Y = (-15 + 12Y) + 36

Remove parenthesis around (-15 + 12Y)
-2 + 14Y = -15 + 12Y + 36

Reorder the terms:
-2 + 14Y = -15 + 36 + 12Y

Combine like terms: -15 + 36 = 21
-2 + 14Y = 21 + 12Y

Solving
-2 + 14Y = 21 + 12Y

Solving for variable 'Y'.

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

Add '-12Y' to each side of the equation.
-2 + 14Y + -12Y = 21 + 12Y + -12Y

Combine like terms: 14Y + -12Y = 2Y
-2 + 2Y = 21 + 12Y + -12Y

Combine like terms: 12Y + -12Y = 0
-2 + 2Y = 21 + 0
-2 + 2Y = 21

Add '2' to each side of the equation.
-2 + 2 + 2Y = 21 + 2

Combine like terms: -2 + 2 = 0
0 + 2Y = 21 + 2
2Y = 21 + 2

Combine like terms: 21 + 2 = 23
2Y = 23

Divide each side by '2'.
Y = 11.5

Simplifying
Y = 11.5

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