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Simplifying y(3y + 6) + 3y + -216 = 3y(y + -3) Reorder the terms: y(6 + 3y) + 3y + -216 = 3y(y + -3) (6 * y + 3y * y) + 3y + -216 = 3y(y + -3) (6y + 3y2) + 3y + -216 = 3y(y + -3) Reorder the terms: -216 + 6y + 3y + 3y2 = 3y(y + -3) Combine like terms: 6y + 3y = 9y -216 + 9y + 3y2 = 3y(y + -3) Reorder the terms: -216 + 9y + 3y2 = 3y(-3 + y) -216 + 9y + 3y2 = (-3 * 3y + y * 3y) -216 + 9y + 3y2 = (-9y + 3y2) Add '-3y2' to each side of the equation. -216 + 9y + 3y2 + -3y2 = -9y + 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -216 + 9y + 0 = -9y + 3y2 + -3y2 -216 + 9y = -9y + 3y2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 -216 + 9y = -9y + 0 -216 + 9y = -9y Solving -216 + 9y = -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -216 + 9y + 9y = -9y + 9y Combine like terms: 9y + 9y = 18y -216 + 18y = -9y + 9y Combine like terms: -9y + 9y = 0 -216 + 18y = 0 Add '216' to each side of the equation. -216 + 216 + 18y = 0 + 216 Combine like terms: -216 + 216 = 0 0 + 18y = 0 + 216 18y = 0 + 216 Combine like terms: 0 + 216 = 216 18y = 216 Divide each side by '18'. y = 12 Simplifying y = 12
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