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Simplifying 4 + 13(5y + -6) = 8y + 17 Reorder the terms: 4 + 13(-6 + 5y) = 8y + 17 4 + (-6 * 13 + 5y * 13) = 8y + 17 4 + (-78 + 65y) = 8y + 17 Combine like terms: 4 + -78 = -74 -74 + 65y = 8y + 17 Reorder the terms: -74 + 65y = 17 + 8y Solving -74 + 65y = 17 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -74 + 65y + -8y = 17 + 8y + -8y Combine like terms: 65y + -8y = 57y -74 + 57y = 17 + 8y + -8y Combine like terms: 8y + -8y = 0 -74 + 57y = 17 + 0 -74 + 57y = 17 Add '74' to each side of the equation. -74 + 74 + 57y = 17 + 74 Combine like terms: -74 + 74 = 0 0 + 57y = 17 + 74 57y = 17 + 74 Combine like terms: 17 + 74 = 91 57y = 91 Divide each side by '57'. y = 1.596491228 Simplifying y = 1.596491228
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