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Simplifying 12(2y + 11) = -12(2y + 12) Reorder the terms: 12(11 + 2y) = -12(2y + 12) (11 * 12 + 2y * 12) = -12(2y + 12) (132 + 24y) = -12(2y + 12) Reorder the terms: 132 + 24y = -12(12 + 2y) 132 + 24y = (12 * -12 + 2y * -12) 132 + 24y = (-144 + -24y) Solving 132 + 24y = -144 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. 132 + 24y + 24y = -144 + -24y + 24y Combine like terms: 24y + 24y = 48y 132 + 48y = -144 + -24y + 24y Combine like terms: -24y + 24y = 0 132 + 48y = -144 + 0 132 + 48y = -144 Add '-132' to each side of the equation. 132 + -132 + 48y = -144 + -132 Combine like terms: 132 + -132 = 0 0 + 48y = -144 + -132 48y = -144 + -132 Combine like terms: -144 + -132 = -276 48y = -276 Divide each side by '48'. y = -5.75 Simplifying y = -5.75
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