.33(6x-33y)-.125(24x-24y+1)-.33=

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Solution for .33(6x-33y)-.125(24x-24y+1)-.33= equation: 


Simplifying
0.33(6x + -33y) + -0.125(24x + -24y + 1) + -0.33 = 0
(6x * 0.33 + -33y * 0.33) + -0.125(24x + -24y + 1) + -0.33 = 0
(1.98x + -10.89y) + -0.125(24x + -24y + 1) + -0.33 = 0

Reorder the terms:
1.98x + -10.89y + -0.125(1 + 24x + -24y) + -0.33 = 0
1.98x + -10.89y + (1 * -0.125 + 24x * -0.125 + -24y * -0.125) + -0.33 = 0
1.98x + -10.89y + (-0.125 + -3x + 3y) + -0.33 = 0

Reorder the terms:
-0.125 + -0.33 + 1.98x + -3x + -10.89y + 3y = 0

Combine like terms: -0.125 + -0.33 = -0.455
-0.455 + 1.98x + -3x + -10.89y + 3y = 0

Combine like terms: 1.98x + -3x = -1.02x
-0.455 + -1.02x + -10.89y + 3y = 0

Combine like terms: -10.89y + 3y = -7.89y
-0.455 + -1.02x + -7.89y = 0

Solving
-0.455 + -1.02x + -7.89y = 0

Solving for variable 'x'.

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

Add '0.455' to each side of the equation.
-0.455 + -1.02x + 0.455 + -7.89y = 0 + 0.455

Reorder the terms:
-0.455 + 0.455 + -1.02x + -7.89y = 0 + 0.455

Combine like terms: -0.455 + 0.455 = 0.000
0.000 + -1.02x + -7.89y = 0 + 0.455
-1.02x + -7.89y = 0 + 0.455

Combine like terms: 0 + 0.455 = 0.455
-1.02x + -7.89y = 0.455

Add '7.89y' to each side of the equation.
-1.02x + -7.89y + 7.89y = 0.455 + 7.89y

Combine like terms: -7.89y + 7.89y = 0.00
-1.02x + 0.00 = 0.455 + 7.89y
-1.02x = 0.455 + 7.89y

Divide each side by '-1.02'.
x = -0.4460784314 + -7.735294118y

Simplifying
x = -0.4460784314 + -7.735294118y

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