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Simplifying 5(y + 3) + 9 = 3(y + -2) + 6 Reorder the terms: 5(3 + y) + 9 = 3(y + -2) + 6 (3 * 5 + y * 5) + 9 = 3(y + -2) + 6 (15 + 5y) + 9 = 3(y + -2) + 6 Reorder the terms: 15 + 9 + 5y = 3(y + -2) + 6 Combine like terms: 15 + 9 = 24 24 + 5y = 3(y + -2) + 6 Reorder the terms: 24 + 5y = 3(-2 + y) + 6 24 + 5y = (-2 * 3 + y * 3) + 6 24 + 5y = (-6 + 3y) + 6 Reorder the terms: 24 + 5y = -6 + 6 + 3y Combine like terms: -6 + 6 = 0 24 + 5y = 0 + 3y 24 + 5y = 3y Solving 24 + 5y = 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 24 + 5y + -3y = 3y + -3y Combine like terms: 5y + -3y = 2y 24 + 2y = 3y + -3y Combine like terms: 3y + -3y = 0 24 + 2y = 0 Add '-24' to each side of the equation. 24 + -24 + 2y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2y = 0 + -24 2y = 0 + -24 Combine like terms: 0 + -24 = -24 2y = -24 Divide each side by '2'. y = -12 Simplifying y = -12
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