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