(21y-1)+(4x+23)+(9x-38)=180

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Solution for (21y-1)+(4x+23)+(9x-38)=180 equation:


Simplifying
(21y + -1) + (4x + 23) + (9x + -38) = 180

Reorder the terms:
(-1 + 21y) + (4x + 23) + (9x + -38) = 180

Remove parenthesis around (-1 + 21y)
-1 + 21y + (4x + 23) + (9x + -38) = 180

Reorder the terms:
-1 + 21y + (23 + 4x) + (9x + -38) = 180

Remove parenthesis around (23 + 4x)
-1 + 21y + 23 + 4x + (9x + -38) = 180

Reorder the terms:
-1 + 21y + 23 + 4x + (-38 + 9x) = 180

Remove parenthesis around (-38 + 9x)
-1 + 21y + 23 + 4x + -38 + 9x = 180

Reorder the terms:
-1 + 23 + -38 + 4x + 9x + 21y = 180

Combine like terms: -1 + 23 = 22
22 + -38 + 4x + 9x + 21y = 180

Combine like terms: 22 + -38 = -16
-16 + 4x + 9x + 21y = 180

Combine like terms: 4x + 9x = 13x
-16 + 13x + 21y = 180

Solving
-16 + 13x + 21y = 180

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 13x + 16 + 21y = 180 + 16

Reorder the terms:
-16 + 16 + 13x + 21y = 180 + 16

Combine like terms: -16 + 16 = 0
0 + 13x + 21y = 180 + 16
13x + 21y = 180 + 16

Combine like terms: 180 + 16 = 196
13x + 21y = 196

Add '-21y' to each side of the equation.
13x + 21y + -21y = 196 + -21y

Combine like terms: 21y + -21y = 0
13x + 0 = 196 + -21y
13x = 196 + -21y

Divide each side by '13'.
x = 15.07692308 + -1.615384615y

Simplifying
x = 15.07692308 + -1.615384615y

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