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Simplifying 5(8 + -1y) = 3y + 13 (8 * 5 + -1y * 5) = 3y + 13 (40 + -5y) = 3y + 13 Reorder the terms: 40 + -5y = 13 + 3y Solving 40 + -5y = 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. 40 + -5y + -3y = 13 + 3y + -3y Combine like terms: -5y + -3y = -8y 40 + -8y = 13 + 3y + -3y Combine like terms: 3y + -3y = 0 40 + -8y = 13 + 0 40 + -8y = 13 Add '-40' to each side of the equation. 40 + -40 + -8y = 13 + -40 Combine like terms: 40 + -40 = 0 0 + -8y = 13 + -40 -8y = 13 + -40 Combine like terms: 13 + -40 = -27 -8y = -27 Divide each side by '-8'. y = 3.375 Simplifying y = 3.375
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