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