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Simplifying y(2y + 3) + 20 = 2y(y + -3) Reorder the terms: y(3 + 2y) + 20 = 2y(y + -3) (3 * y + 2y * y) + 20 = 2y(y + -3) (3y + 2y2) + 20 = 2y(y + -3) Reorder the terms: 20 + 3y + 2y2 = 2y(y + -3) Reorder the terms: 20 + 3y + 2y2 = 2y(-3 + y) 20 + 3y + 2y2 = (-3 * 2y + y * 2y) 20 + 3y + 2y2 = (-6y + 2y2) Add '-2y2' to each side of the equation. 20 + 3y + 2y2 + -2y2 = -6y + 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 20 + 3y + 0 = -6y + 2y2 + -2y2 20 + 3y = -6y + 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 20 + 3y = -6y + 0 20 + 3y = -6y Solving 20 + 3y = -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 20 + 3y + 6y = -6y + 6y Combine like terms: 3y + 6y = 9y 20 + 9y = -6y + 6y Combine like terms: -6y + 6y = 0 20 + 9y = 0 Add '-20' to each side of the equation. 20 + -20 + 9y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 9y = 0 + -20 9y = 0 + -20 Combine like terms: 0 + -20 = -20 9y = -20 Divide each side by '9'. y = -2.222222222 Simplifying y = -2.222222222
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