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Simplifying -5(5y + -9) + 3(y + 6) = 0 Reorder the terms: -5(-9 + 5y) + 3(y + 6) = 0 (-9 * -5 + 5y * -5) + 3(y + 6) = 0 (45 + -25y) + 3(y + 6) = 0 Reorder the terms: 45 + -25y + 3(6 + y) = 0 45 + -25y + (6 * 3 + y * 3) = 0 45 + -25y + (18 + 3y) = 0 Reorder the terms: 45 + 18 + -25y + 3y = 0 Combine like terms: 45 + 18 = 63 63 + -25y + 3y = 0 Combine like terms: -25y + 3y = -22y 63 + -22y = 0 Solving 63 + -22y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -22y = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -22y = 0 + -63 -22y = 0 + -63 Combine like terms: 0 + -63 = -63 -22y = -63 Divide each side by '-22'. y = 2.863636364 Simplifying y = 2.863636364
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