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Simplifying 2y + 5(y + 8) = -23 Reorder the terms: 2y + 5(8 + y) = -23 2y + (8 * 5 + y * 5) = -23 2y + (40 + 5y) = -23 Reorder the terms: 40 + 2y + 5y = -23 Combine like terms: 2y + 5y = 7y 40 + 7y = -23 Solving 40 + 7y = -23 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 7y = -23 + -40 Combine like terms: 40 + -40 = 0 0 + 7y = -23 + -40 7y = -23 + -40 Combine like terms: -23 + -40 = -63 7y = -63 Divide each side by '7'. y = -9 Simplifying y = -9
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