-2(y-6y)+3=-3(2y-y)+9+12y

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Solution for -2(y-6y)+3=-3(2y-y)+9+12y equation:


Simplifying
-2(y + -6y) + 3 = -3(2y + -1y) + 9 + 12y

Combine like terms: y + -6y = -5y
-2(-5y) + 3 = -3(2y + -1y) + 9 + 12y

Remove parenthesis around (-5y)
-2 * -5y + 3 = -3(2y + -1y) + 9 + 12y

Multiply -2 * -5
10y + 3 = -3(2y + -1y) + 9 + 12y

Reorder the terms:
3 + 10y = -3(2y + -1y) + 9 + 12y

Combine like terms: 2y + -1y = 1y
3 + 10y = -3(1y) + 9 + 12y

Remove parenthesis around (1y)
3 + 10y = -3 * 1y + 9 + 12y

Multiply -3 * 1
3 + 10y = -3y + 9 + 12y

Reorder the terms:
3 + 10y = 9 + -3y + 12y

Combine like terms: -3y + 12y = 9y
3 + 10y = 9 + 9y

Solving
3 + 10y = 9 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
3 + 10y + -9y = 9 + 9y + -9y

Combine like terms: 10y + -9y = 1y
3 + 1y = 9 + 9y + -9y

Combine like terms: 9y + -9y = 0
3 + 1y = 9 + 0
3 + 1y = 9

Add '-3' to each side of the equation.
3 + -3 + 1y = 9 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 9 + -3
1y = 9 + -3

Combine like terms: 9 + -3 = 6
1y = 6

Divide each side by '1'.
y = 6

Simplifying
y = 6

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