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Simplifying 8y + 13 = 5y + -2 Reorder the terms: 13 + 8y = 5y + -2 Reorder the terms: 13 + 8y = -2 + 5y Solving 13 + 8y = -2 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 13 + 8y + -5y = -2 + 5y + -5y Combine like terms: 8y + -5y = 3y 13 + 3y = -2 + 5y + -5y Combine like terms: 5y + -5y = 0 13 + 3y = -2 + 0 13 + 3y = -2 Add '-13' to each side of the equation. 13 + -13 + 3y = -2 + -13 Combine like terms: 13 + -13 = 0 0 + 3y = -2 + -13 3y = -2 + -13 Combine like terms: -2 + -13 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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