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Simplifying 5y + 13 = 5 + -3y 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 = 8y 13 + 8y = 5 + -3y + 3y Combine like terms: -3y + 3y = 0 13 + 8y = 5 + 0 13 + 8y = 5 Add '-13' to each side of the equation. 13 + -13 + 8y = 5 + -13 Combine like terms: 13 + -13 = 0 0 + 8y = 5 + -13 8y = 5 + -13 Combine like terms: 5 + -13 = -8 8y = -8 Divide each side by '8'. y = -1 Simplifying y = -1
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