4(3y-1)-3(2x)=6

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Solution for 4(3y-1)-3(2x)=6 equation:


Simplifying
4(3y + -1) + -3(2x) = 6

Reorder the terms:
4(-1 + 3y) + -3(2x) = 6
(-1 * 4 + 3y * 4) + -3(2x) = 6
(-4 + 12y) + -3(2x) = 6

Remove parenthesis around (2x)
-4 + 12y + -3 * 2x = 6

Multiply -3 * 2
-4 + 12y + -6x = 6

Reorder the terms:
-4 + -6x + 12y = 6

Solving
-4 + -6x + 12y = 6

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + -6x + 4 + 12y = 6 + 4

Reorder the terms:
-4 + 4 + -6x + 12y = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -6x + 12y = 6 + 4
-6x + 12y = 6 + 4

Combine like terms: 6 + 4 = 10
-6x + 12y = 10

Add '-12y' to each side of the equation.
-6x + 12y + -12y = 10 + -12y

Combine like terms: 12y + -12y = 0
-6x + 0 = 10 + -12y
-6x = 10 + -12y

Divide each side by '-6'.
x = -1.666666667 + 2y

Simplifying
x = -1.666666667 + 2y

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