42-8x+4w=2(12-4x)+2y

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Solution for 42-8x+4w=2(12-4x)+2y equation:


Simplifying
42 + -8x + 4w = 2(12 + -4x) + 2y

Reorder the terms:
42 + 4w + -8x = 2(12 + -4x) + 2y
42 + 4w + -8x = (12 * 2 + -4x * 2) + 2y
42 + 4w + -8x = (24 + -8x) + 2y

Add '8x' to each side of the equation.
42 + 4w + -8x + 8x = 24 + -8x + 8x + 2y

Combine like terms: -8x + 8x = 0
42 + 4w + 0 = 24 + -8x + 8x + 2y
42 + 4w = 24 + -8x + 8x + 2y

Combine like terms: -8x + 8x = 0
42 + 4w = 24 + 0 + 2y
42 + 4w = 24 + 2y

Solving
42 + 4w = 24 + 2y

Solving for variable 'w'.

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

Add '-42' to each side of the equation.
42 + -42 + 4w = 24 + -42 + 2y

Combine like terms: 42 + -42 = 0
0 + 4w = 24 + -42 + 2y
4w = 24 + -42 + 2y

Combine like terms: 24 + -42 = -18
4w = -18 + 2y

Divide each side by '4'.
w = -4.5 + 0.5y

Simplifying
w = -4.5 + 0.5y

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