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Simplifying 13 = 5(y + 8) + -8y Reorder the terms: 13 = 5(8 + y) + -8y 13 = (8 * 5 + y * 5) + -8y 13 = (40 + 5y) + -8y Combine like terms: 5y + -8y = -3y 13 = 40 + -3y Solving 13 = 40 + -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 + 3y = 40 + -3y + 3y Combine like terms: -3y + 3y = 0 13 + 3y = 40 + 0 13 + 3y = 40 Add '-13' to each side of the equation. 13 + -13 + 3y = 40 + -13 Combine like terms: 13 + -13 = 0 0 + 3y = 40 + -13 3y = 40 + -13 Combine like terms: 40 + -13 = 27 3y = 27 Divide each side by '3'. y = 9 Simplifying y = 9
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