2(3x-1)-(y+4)=-7

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Solution for 2(3x-1)-(y+4)=-7 equation:


Simplifying
2(3x + -1) + -1(y + 4) = -7

Reorder the terms:
2(-1 + 3x) + -1(y + 4) = -7
(-1 * 2 + 3x * 2) + -1(y + 4) = -7
(-2 + 6x) + -1(y + 4) = -7

Reorder the terms:
-2 + 6x + -1(4 + y) = -7
-2 + 6x + (4 * -1 + y * -1) = -7
-2 + 6x + (-4 + -1y) = -7

Reorder the terms:
-2 + -4 + 6x + -1y = -7

Combine like terms: -2 + -4 = -6
-6 + 6x + -1y = -7

Solving
-6 + 6x + -1y = -7

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6x + 6 + -1y = -7 + 6

Reorder the terms:
-6 + 6 + 6x + -1y = -7 + 6

Combine like terms: -6 + 6 = 0
0 + 6x + -1y = -7 + 6
6x + -1y = -7 + 6

Combine like terms: -7 + 6 = -1
6x + -1y = -1

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

Combine like terms: -1y + y = 0
6x + 0 = -1 + y
6x = -1 + y

Divide each side by '6'.
x = -0.1666666667 + 0.1666666667y

Simplifying
x = -0.1666666667 + 0.1666666667y

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