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Simplifying 2(y + 1) + -5(y + -5) = 0 Reorder the terms: 2(1 + y) + -5(y + -5) = 0 (1 * 2 + y * 2) + -5(y + -5) = 0 (2 + 2y) + -5(y + -5) = 0 Reorder the terms: 2 + 2y + -5(-5 + y) = 0 2 + 2y + (-5 * -5 + y * -5) = 0 2 + 2y + (25 + -5y) = 0 Reorder the terms: 2 + 25 + 2y + -5y = 0 Combine like terms: 2 + 25 = 27 27 + 2y + -5y = 0 Combine like terms: 2y + -5y = -3y 27 + -3y = 0 Solving 27 + -3y = 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 + -3y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -3y = 0 + -27 -3y = 0 + -27 Combine like terms: 0 + -27 = -27 -3y = -27 Divide each side by '-3'. y = 9 Simplifying y = 9
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