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Simplifying 2y + 13 = -17 + -3y Reorder the terms: 13 + 2y = -17 + -3y Solving 13 + 2y = -17 + -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. 13 + 2y + 3y = -17 + -3y + 3y Combine like terms: 2y + 3y = 5y 13 + 5y = -17 + -3y + 3y Combine like terms: -3y + 3y = 0 13 + 5y = -17 + 0 13 + 5y = -17 Add '-13' to each side of the equation. 13 + -13 + 5y = -17 + -13 Combine like terms: 13 + -13 = 0 0 + 5y = -17 + -13 5y = -17 + -13 Combine like terms: -17 + -13 = -30 5y = -30 Divide each side by '5'. y = -6 Simplifying y = -6
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