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Simplifying 2(y2 + 9) = (y + 12)(2y + 3) Reorder the terms: 2(9 + y2) = (y + 12)(2y + 3) (9 * 2 + y2 * 2) = (y + 12)(2y + 3) (18 + 2y2) = (y + 12)(2y + 3) Reorder the terms: 18 + 2y2 = (12 + y)(2y + 3) Reorder the terms: 18 + 2y2 = (12 + y)(3 + 2y) Multiply (12 + y) * (3 + 2y) 18 + 2y2 = (12(3 + 2y) + y(3 + 2y)) 18 + 2y2 = ((3 * 12 + 2y * 12) + y(3 + 2y)) 18 + 2y2 = ((36 + 24y) + y(3 + 2y)) 18 + 2y2 = (36 + 24y + (3 * y + 2y * y)) 18 + 2y2 = (36 + 24y + (3y + 2y2)) Combine like terms: 24y + 3y = 27y 18 + 2y2 = (36 + 27y + 2y2) Add '-2y2' to each side of the equation. 18 + 2y2 + -2y2 = 36 + 27y + 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 18 + 0 = 36 + 27y + 2y2 + -2y2 18 = 36 + 27y + 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 18 = 36 + 27y + 0 18 = 36 + 27y Solving 18 = 36 + 27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27y' to each side of the equation. 18 + -27y = 36 + 27y + -27y Combine like terms: 27y + -27y = 0 18 + -27y = 36 + 0 18 + -27y = 36 Add '-18' to each side of the equation. 18 + -18 + -27y = 36 + -18 Combine like terms: 18 + -18 = 0 0 + -27y = 36 + -18 -27y = 36 + -18 Combine like terms: 36 + -18 = 18 -27y = 18 Divide each side by '-27'. y = -0.6666666667 Simplifying y = -0.6666666667
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