(6y+1)+(x+7)+(2x-5)+(4y+9)=34

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Solution for (6y+1)+(x+7)+(2x-5)+(4y+9)=34 equation: 


Simplifying
(6y + 1) + (x + 7) + (2x + -5) + (4y + 9) = 34

Reorder the terms:
(1 + 6y) + (x + 7) + (2x + -5) + (4y + 9) = 34

Remove parenthesis around (1 + 6y)
1 + 6y + (x + 7) + (2x + -5) + (4y + 9) = 34

Reorder the terms:
1 + 6y + (7 + x) + (2x + -5) + (4y + 9) = 34

Remove parenthesis around (7 + x)
1 + 6y + 7 + x + (2x + -5) + (4y + 9) = 34

Reorder the terms:
1 + 6y + 7 + x + (-5 + 2x) + (4y + 9) = 34

Remove parenthesis around (-5 + 2x)
1 + 6y + 7 + x + -5 + 2x + (4y + 9) = 34

Reorder the terms:
1 + 6y + 7 + x + -5 + 2x + (9 + 4y) = 34

Remove parenthesis around (9 + 4y)
1 + 6y + 7 + x + -5 + 2x + 9 + 4y = 34

Reorder the terms:
1 + 7 + -5 + 9 + x + 2x + 6y + 4y = 34

Combine like terms: 1 + 7 = 8
8 + -5 + 9 + x + 2x + 6y + 4y = 34

Combine like terms: 8 + -5 = 3
3 + 9 + x + 2x + 6y + 4y = 34

Combine like terms: 3 + 9 = 12
12 + x + 2x + 6y + 4y = 34

Combine like terms: x + 2x = 3x
12 + 3x + 6y + 4y = 34

Combine like terms: 6y + 4y = 10y
12 + 3x + 10y = 34

Solving
12 + 3x + 10y = 34

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + 3x + -12 + 10y = 34 + -12

Reorder the terms:
12 + -12 + 3x + 10y = 34 + -12

Combine like terms: 12 + -12 = 0
0 + 3x + 10y = 34 + -12
3x + 10y = 34 + -12

Combine like terms: 34 + -12 = 22
3x + 10y = 22

Add '-10y' to each side of the equation.
3x + 10y + -10y = 22 + -10y

Combine like terms: 10y + -10y = 0
3x + 0 = 22 + -10y
3x = 22 + -10y

Divide each side by '3'.
x = 7.333333333 + -3.333333333y

Simplifying
x = 7.333333333 + -3.333333333y

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