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Simplifying -12 = 11y + -3(2y + 9) Reorder the terms: -12 = 11y + -3(9 + 2y) -12 = 11y + (9 * -3 + 2y * -3) -12 = 11y + (-27 + -6y) Reorder the terms: -12 = -27 + 11y + -6y Combine like terms: 11y + -6y = 5y -12 = -27 + 5y Solving -12 = -27 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -12 + -5y = -27 + 5y + -5y Combine like terms: 5y + -5y = 0 -12 + -5y = -27 + 0 -12 + -5y = -27 Add '12' to each side of the equation. -12 + 12 + -5y = -27 + 12 Combine like terms: -12 + 12 = 0 0 + -5y = -27 + 12 -5y = -27 + 12 Combine like terms: -27 + 12 = -15 -5y = -15 Divide each side by '-5'. y = 3 Simplifying y = 3
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