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Simplifying 12x + -4y + -12 = 4x + 8 + 8x + -24 Reorder the terms: -12 + 12x + -4y = 4x + 8 + 8x + -24 Reorder the terms: -12 + 12x + -4y = 8 + -24 + 4x + 8x Combine like terms: 8 + -24 = -16 -12 + 12x + -4y = -16 + 4x + 8x Combine like terms: 4x + 8x = 12x -12 + 12x + -4y = -16 + 12x Add '-12x' to each side of the equation. -12 + 12x + -12x + -4y = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + 0 + -4y = -16 + 12x + -12x -12 + -4y = -16 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -4y = -16 + 0 -12 + -4y = -16 Solving -12 + -4y = -16 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 = -16 + 12 Combine like terms: -12 + 12 = 0 0 + -4y = -16 + 12 -4y = -16 + 12 Combine like terms: -16 + 12 = -4 -4y = -4 Divide each side by '-4'. y = 1 Simplifying y = 1
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