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Simplifying -8y + 1 = 5(y + 8) Reorder the terms: 1 + -8y = 5(y + 8) Reorder the terms: 1 + -8y = 5(8 + y) 1 + -8y = (8 * 5 + y * 5) 1 + -8y = (40 + 5y) Solving 1 + -8y = 40 + 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. 1 + -8y + -5y = 40 + 5y + -5y Combine like terms: -8y + -5y = -13y 1 + -13y = 40 + 5y + -5y Combine like terms: 5y + -5y = 0 1 + -13y = 40 + 0 1 + -13y = 40 Add '-1' to each side of the equation. 1 + -1 + -13y = 40 + -1 Combine like terms: 1 + -1 = 0 0 + -13y = 40 + -1 -13y = 40 + -1 Combine like terms: 40 + -1 = 39 -13y = 39 Divide each side by '-13'. y = -3 Simplifying y = -3
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