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Simplifying -3(5y + -5) + 2(3y + 6) = 0 Reorder the terms: -3(-5 + 5y) + 2(3y + 6) = 0 (-5 * -3 + 5y * -3) + 2(3y + 6) = 0 (15 + -15y) + 2(3y + 6) = 0 Reorder the terms: 15 + -15y + 2(6 + 3y) = 0 15 + -15y + (6 * 2 + 3y * 2) = 0 15 + -15y + (12 + 6y) = 0 Reorder the terms: 15 + 12 + -15y + 6y = 0 Combine like terms: 15 + 12 = 27 27 + -15y + 6y = 0 Combine like terms: -15y + 6y = -9y 27 + -9y = 0 Solving 27 + -9y = 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 + -9y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -9y = 0 + -27 -9y = 0 + -27 Combine like terms: 0 + -27 = -27 -9y = -27 Divide each side by '-9'. y = 3 Simplifying y = 3
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