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Simplifying 12y + 9(2y + 16) = -16 + 20y Reorder the terms: 12y + 9(16 + 2y) = -16 + 20y 12y + (16 * 9 + 2y * 9) = -16 + 20y 12y + (144 + 18y) = -16 + 20y Reorder the terms: 144 + 12y + 18y = -16 + 20y Combine like terms: 12y + 18y = 30y 144 + 30y = -16 + 20y Solving 144 + 30y = -16 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. 144 + 30y + -20y = -16 + 20y + -20y Combine like terms: 30y + -20y = 10y 144 + 10y = -16 + 20y + -20y Combine like terms: 20y + -20y = 0 144 + 10y = -16 + 0 144 + 10y = -16 Add '-144' to each side of the equation. 144 + -144 + 10y = -16 + -144 Combine like terms: 144 + -144 = 0 0 + 10y = -16 + -144 10y = -16 + -144 Combine like terms: -16 + -144 = -160 10y = -160 Divide each side by '10'. y = -16 Simplifying y = -16
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