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Simplifying 5y + 13 = 3y + -5 Reorder the terms: 13 + 5y = 3y + -5 Reorder the terms: 13 + 5y = -5 + 3y Solving 13 + 5y = -5 + 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 + 5y + -3y = -5 + 3y + -3y Combine like terms: 5y + -3y = 2y 13 + 2y = -5 + 3y + -3y Combine like terms: 3y + -3y = 0 13 + 2y = -5 + 0 13 + 2y = -5 Add '-13' to each side of the equation. 13 + -13 + 2y = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 2y = -5 + -13 2y = -5 + -13 Combine like terms: -5 + -13 = -18 2y = -18 Divide each side by '2'. y = -9 Simplifying y = -9
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