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

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


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

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

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

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

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

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

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

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

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

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

Reorder the terms:
-2 + 14y = -12 + 36 + 12y

Combine like terms: -12 + 36 = 24
-2 + 14y = 24 + 12y

Solving
-2 + 14y = 24 + 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 = 24 + 12y + -12y

Combine like terms: 14y + -12y = 2y
-2 + 2y = 24 + 12y + -12y

Combine like terms: 12y + -12y = 0
-2 + 2y = 24 + 0
-2 + 2y = 24

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

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

Combine like terms: 24 + 2 = 26
2y = 26

Divide each side by '2'.
y = 13

Simplifying
y = 13

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