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

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


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

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

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

Reorder the terms:
-2 + 6 + -4x + 3y = 2

Combine like terms: -2 + 6 = 4
4 + -4x + 3y = 2

Solving
4 + -4x + 3y = 2

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 + -4x + -4 + 3y = 2 + -4

Reorder the terms:
4 + -4 + -4x + 3y = 2 + -4

Combine like terms: 4 + -4 = 0
0 + -4x + 3y = 2 + -4
-4x + 3y = 2 + -4

Combine like terms: 2 + -4 = -2
-4x + 3y = -2

Add '-3y' to each side of the equation.
-4x + 3y + -3y = -2 + -3y

Combine like terms: 3y + -3y = 0
-4x + 0 = -2 + -3y
-4x = -2 + -3y

Divide each side by '-4'.
x = 0.5 + 0.75y

Simplifying
x = 0.5 + 0.75y

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