(6x+7x)+-(2y-3y)+9=(6+7)x+(-2-3)y+9

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Solution for (6x+7x)+-(2y-3y)+9=(6+7)x+(-2-3)y+9 equation: 


Simplifying
(6x + 7x) + -1(2y + -3y) + 9 = (6 + 7) * x + (-2 + -3) * y + 9

Combine like terms: 6x + 7x = 13x
(13x) + -1(2y + -3y) + 9 = (6 + 7) * x + (-2 + -3) * y + 9
(13x) + -1(2y + -3y) + 9 = (6 + 7) * x + (-2 + -3) * y + 9

Combine like terms: 2y + -3y = -1y
(13x) + -1(-1y) + 9 = (6 + 7) * x + (-2 + -3) * y + 9

Remove parenthesis around (-1y)
(13x) + -1 * -1y + 9 = (6 + 7) * x + (-2 + -3) * y + 9

Multiply -1 * -1
(13x) + 1y + 9 = (6 + 7) * x + (-2 + -3) * y + 9

Reorder the terms:
9 + (13x) + 1y = (6 + 7) * x + (-2 + -3) * y + 9

Combine like terms: 6 + 7 = 13
9 + (13x) + 1y = (13) * x + (-2 + -3) * y + 9

Combine like terms: -2 + -3 = -5
9 + (13x) + 1y = 13x + (-5) * y + 9

Reorder the terms:
9 + (13x) + 1y = 9 + 13x + -5y

Add '-9' to each side of the equation.
9 + (13x) + -9 + 1y = 9 + 13x + -9 + -5y

Reorder the terms:
9 + -9 + (13x) + 1y = 9 + 13x + -9 + -5y

Combine like terms: 9 + -9 = 0
0 + (13x) + 1y = 9 + 13x + -9 + -5y
(13x) + 1y = 9 + 13x + -9 + -5y

Reorder the terms:
(13x) + 1y = 9 + -9 + 13x + -5y

Combine like terms: 9 + -9 = 0
(13x) + 1y = 0 + 13x + -5y
(13x) + 1y = 13x + -5y

Add '(-13x)' to each side of the equation.
(13x) + (-13x) + 1y = 13x + (-13x) + -5y

Combine like terms: (13x) + (-13x) = 0
0 + 1y = 13x + (-13x) + -5y
1y = 13x + (-13x) + -5y

Combine like terms: 13x + (-13x) = 0
1y = 0 + -5y
1y = -5y

Solving
1y = -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
1y + 5y = -5y + 5y

Combine like terms: 1y + 5y = 6y
6y = -5y + 5y

Combine like terms: -5y + 5y = 0
6y = 0

Divide each side by '6'.
y = 0

Simplifying
y = 0

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