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Simplifying -9(2y + 5) + 3(2y + 6) + -2y = 0 Reorder the terms: -9(5 + 2y) + 3(2y + 6) + -2y = 0 (5 * -9 + 2y * -9) + 3(2y + 6) + -2y = 0 (-45 + -18y) + 3(2y + 6) + -2y = 0 Reorder the terms: -45 + -18y + 3(6 + 2y) + -2y = 0 -45 + -18y + (6 * 3 + 2y * 3) + -2y = 0 -45 + -18y + (18 + 6y) + -2y = 0 Reorder the terms: -45 + 18 + -18y + 6y + -2y = 0 Combine like terms: -45 + 18 = -27 -27 + -18y + 6y + -2y = 0 Combine like terms: -18y + 6y = -12y -27 + -12y + -2y = 0 Combine like terms: -12y + -2y = -14y -27 + -14y = 0 Solving -27 + -14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -14y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -14y = 0 + 27 -14y = 0 + 27 Combine like terms: 0 + 27 = 27 -14y = 27 Divide each side by '-14'. y = -1.928571429 Simplifying y = -1.928571429
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