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