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Simplifying 5(y + 5) + 2 = 3(y + -2) + -1 Reorder the terms: 5(5 + y) + 2 = 3(y + -2) + -1 (5 * 5 + y * 5) + 2 = 3(y + -2) + -1 (25 + 5y) + 2 = 3(y + -2) + -1 Reorder the terms: 25 + 2 + 5y = 3(y + -2) + -1 Combine like terms: 25 + 2 = 27 27 + 5y = 3(y + -2) + -1 Reorder the terms: 27 + 5y = 3(-2 + y) + -1 27 + 5y = (-2 * 3 + y * 3) + -1 27 + 5y = (-6 + 3y) + -1 Reorder the terms: 27 + 5y = -6 + -1 + 3y Combine like terms: -6 + -1 = -7 27 + 5y = -7 + 3y Solving 27 + 5y = -7 + 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. 27 + 5y + -3y = -7 + 3y + -3y Combine like terms: 5y + -3y = 2y 27 + 2y = -7 + 3y + -3y Combine like terms: 3y + -3y = 0 27 + 2y = -7 + 0 27 + 2y = -7 Add '-27' to each side of the equation. 27 + -27 + 2y = -7 + -27 Combine like terms: 27 + -27 = 0 0 + 2y = -7 + -27 2y = -7 + -27 Combine like terms: -7 + -27 = -34 2y = -34 Divide each side by '2'. y = -17 Simplifying y = -17
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