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Simplifying 12x + -4y + -12 = 4x + 8 + 8x + -2 Reorder the terms: -12 + 12x + -4y = 4x + 8 + 8x + -2 Reorder the terms: -12 + 12x + -4y = 8 + -2 + 4x + 8x Combine like terms: 8 + -2 = 6 -12 + 12x + -4y = 6 + 4x + 8x Combine like terms: 4x + 8x = 12x -12 + 12x + -4y = 6 + 12x Add '-12x' to each side of the equation. -12 + 12x + -12x + -4y = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 0 + -4y = 6 + 12x + -12x -12 + -4y = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -4y = 6 + 0 -12 + -4y = 6 Solving -12 + -4y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -4y = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -4y = 6 + 12 -4y = 6 + 12 Combine like terms: 6 + 12 = 18 -4y = 18 Divide each side by '-4'. y = -4.5 Simplifying y = -4.5
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