(6x+14Y)+(15x-8Y)+90=180

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Solution for (6x+14Y)+(15x-8Y)+90=180 equation: 


Simplifying
(6x + 14Y) + (15x + -8Y) + 90 = 180

Reorder the terms:
(14Y + 6x) + (15x + -8Y) + 90 = 180

Remove parenthesis around (14Y + 6x)
14Y + 6x + (15x + -8Y) + 90 = 180

Reorder the terms:
14Y + 6x + (-8Y + 15x) + 90 = 180

Remove parenthesis around (-8Y + 15x)
14Y + 6x + -8Y + 15x + 90 = 180

Reorder the terms:
90 + 14Y + -8Y + 6x + 15x = 180

Combine like terms: 14Y + -8Y = 6Y
90 + 6Y + 6x + 15x = 180

Combine like terms: 6x + 15x = 21x
90 + 6Y + 21x = 180

Solving
90 + 6Y + 21x = 180

Solving for variable 'Y'.

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

Add '-90' to each side of the equation.
90 + 6Y + -90 + 21x = 180 + -90

Reorder the terms:
90 + -90 + 6Y + 21x = 180 + -90

Combine like terms: 90 + -90 = 0
0 + 6Y + 21x = 180 + -90
6Y + 21x = 180 + -90

Combine like terms: 180 + -90 = 90
6Y + 21x = 90

Add '-21x' to each side of the equation.
6Y + 21x + -21x = 90 + -21x

Combine like terms: 21x + -21x = 0
6Y + 0 = 90 + -21x
6Y = 90 + -21x

Divide each side by '6'.
Y = 15 + -3.5x

Simplifying
Y = 15 + -3.5x

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