7y+18x-y+14=32-x-4y+3

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Solution for 7y+18x-y+14=32-x-4y+3 equation:


Simplifying
7y + 18x + -1y + 14 = 32 + -1x + -4y + 3

Reorder the terms:
14 + 18x + 7y + -1y = 32 + -1x + -4y + 3

Combine like terms: 7y + -1y = 6y
14 + 18x + 6y = 32 + -1x + -4y + 3

Reorder the terms:
14 + 18x + 6y = 32 + 3 + -1x + -4y

Combine like terms: 32 + 3 = 35
14 + 18x + 6y = 35 + -1x + -4y

Solving
14 + 18x + 6y = 35 + -1x + -4y

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
14 + 18x + x + 6y = 35 + -1x + x + -4y

Combine like terms: 18x + x = 19x
14 + 19x + 6y = 35 + -1x + x + -4y

Combine like terms: -1x + x = 0
14 + 19x + 6y = 35 + 0 + -4y
14 + 19x + 6y = 35 + -4y

Add '-14' to each side of the equation.
14 + 19x + -14 + 6y = 35 + -14 + -4y

Reorder the terms:
14 + -14 + 19x + 6y = 35 + -14 + -4y

Combine like terms: 14 + -14 = 0
0 + 19x + 6y = 35 + -14 + -4y
19x + 6y = 35 + -14 + -4y

Combine like terms: 35 + -14 = 21
19x + 6y = 21 + -4y

Add '-6y' to each side of the equation.
19x + 6y + -6y = 21 + -4y + -6y

Combine like terms: 6y + -6y = 0
19x + 0 = 21 + -4y + -6y
19x = 21 + -4y + -6y

Combine like terms: -4y + -6y = -10y
19x = 21 + -10y

Divide each side by '19'.
x = 1.105263158 + -0.5263157895y

Simplifying
x = 1.105263158 + -0.5263157895y

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