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Simplifying 8(12 + -1y) + 4y = 12y + -96 (12 * 8 + -1y * 8) + 4y = 12y + -96 (96 + -8y) + 4y = 12y + -96 Combine like terms: -8y + 4y = -4y 96 + -4y = 12y + -96 Reorder the terms: 96 + -4y = -96 + 12y Solving 96 + -4y = -96 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 96 + -4y + -12y = -96 + 12y + -12y Combine like terms: -4y + -12y = -16y 96 + -16y = -96 + 12y + -12y Combine like terms: 12y + -12y = 0 96 + -16y = -96 + 0 96 + -16y = -96 Add '-96' to each side of the equation. 96 + -96 + -16y = -96 + -96 Combine like terms: 96 + -96 = 0 0 + -16y = -96 + -96 -16y = -96 + -96 Combine like terms: -96 + -96 = -192 -16y = -192 Divide each side by '-16'. y = 12 Simplifying y = 12
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