(4y-18)+(y+14)+(6x-11)=81+(6x-11)+(x+5)

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Solution for (4y-18)+(y+14)+(6x-11)=81+(6x-11)+(x+5) equation:


Simplifying
(4y + -18) + (y + 14) + (6x + -11) = 81 + (6x + -11) + (x + 5)

Reorder the terms:
(-18 + 4y) + (y + 14) + (6x + -11) = 81 + (6x + -11) + (x + 5)

Remove parenthesis around (-18 + 4y)
-18 + 4y + (y + 14) + (6x + -11) = 81 + (6x + -11) + (x + 5)

Reorder the terms:
-18 + 4y + (14 + y) + (6x + -11) = 81 + (6x + -11) + (x + 5)

Remove parenthesis around (14 + y)
-18 + 4y + 14 + y + (6x + -11) = 81 + (6x + -11) + (x + 5)

Reorder the terms:
-18 + 4y + 14 + y + (-11 + 6x) = 81 + (6x + -11) + (x + 5)

Remove parenthesis around (-11 + 6x)
-18 + 4y + 14 + y + -11 + 6x = 81 + (6x + -11) + (x + 5)

Reorder the terms:
-18 + 14 + -11 + 6x + 4y + y = 81 + (6x + -11) + (x + 5)

Combine like terms: -18 + 14 = -4
-4 + -11 + 6x + 4y + y = 81 + (6x + -11) + (x + 5)

Combine like terms: -4 + -11 = -15
-15 + 6x + 4y + y = 81 + (6x + -11) + (x + 5)

Combine like terms: 4y + y = 5y
-15 + 6x + 5y = 81 + (6x + -11) + (x + 5)

Reorder the terms:
-15 + 6x + 5y = 81 + (-11 + 6x) + (x + 5)

Remove parenthesis around (-11 + 6x)
-15 + 6x + 5y = 81 + -11 + 6x + (x + 5)

Reorder the terms:
-15 + 6x + 5y = 81 + -11 + 6x + (5 + x)

Remove parenthesis around (5 + x)
-15 + 6x + 5y = 81 + -11 + 6x + 5 + x

Reorder the terms:
-15 + 6x + 5y = 81 + -11 + 5 + 6x + x

Combine like terms: 81 + -11 = 70
-15 + 6x + 5y = 70 + 5 + 6x + x

Combine like terms: 70 + 5 = 75
-15 + 6x + 5y = 75 + 6x + x

Combine like terms: 6x + x = 7x
-15 + 6x + 5y = 75 + 7x

Solving
-15 + 6x + 5y = 75 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-15 + 6x + -7x + 5y = 75 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-15 + -1x + 5y = 75 + 7x + -7x

Combine like terms: 7x + -7x = 0
-15 + -1x + 5y = 75 + 0
-15 + -1x + 5y = 75

Add '15' to each side of the equation.
-15 + -1x + 15 + 5y = 75 + 15

Reorder the terms:
-15 + 15 + -1x + 5y = 75 + 15

Combine like terms: -15 + 15 = 0
0 + -1x + 5y = 75 + 15
-1x + 5y = 75 + 15

Combine like terms: 75 + 15 = 90
-1x + 5y = 90

Add '-5y' to each side of the equation.
-1x + 5y + -5y = 90 + -5y

Combine like terms: 5y + -5y = 0
-1x + 0 = 90 + -5y
-1x = 90 + -5y

Divide each side by '-1'.
x = -90 + 5y

Simplifying
x = -90 + 5y

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