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Simplifying 3y(2y + 5) + -9 = 2y(3y + 1) + 7 Reorder the terms: 3y(5 + 2y) + -9 = 2y(3y + 1) + 7 (5 * 3y + 2y * 3y) + -9 = 2y(3y + 1) + 7 (15y + 6y2) + -9 = 2y(3y + 1) + 7 Reorder the terms: -9 + 15y + 6y2 = 2y(3y + 1) + 7 Reorder the terms: -9 + 15y + 6y2 = 2y(1 + 3y) + 7 -9 + 15y + 6y2 = (1 * 2y + 3y * 2y) + 7 -9 + 15y + 6y2 = (2y + 6y2) + 7 Reorder the terms: -9 + 15y + 6y2 = 7 + 2y + 6y2 Add '-6y2' to each side of the equation. -9 + 15y + 6y2 + -6y2 = 7 + 2y + 6y2 + -6y2 Combine like terms: 6y2 + -6y2 = 0 -9 + 15y + 0 = 7 + 2y + 6y2 + -6y2 -9 + 15y = 7 + 2y + 6y2 + -6y2 Combine like terms: 6y2 + -6y2 = 0 -9 + 15y = 7 + 2y + 0 -9 + 15y = 7 + 2y Solving -9 + 15y = 7 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -9 + 15y + -2y = 7 + 2y + -2y Combine like terms: 15y + -2y = 13y -9 + 13y = 7 + 2y + -2y Combine like terms: 2y + -2y = 0 -9 + 13y = 7 + 0 -9 + 13y = 7 Add '9' to each side of the equation. -9 + 9 + 13y = 7 + 9 Combine like terms: -9 + 9 = 0 0 + 13y = 7 + 9 13y = 7 + 9 Combine like terms: 7 + 9 = 16 13y = 16 Divide each side by '13'. y = 1.230769231 Simplifying y = 1.230769231
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