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Simplifying 8y + 77 = 5(5 + -1y) Reorder the terms: 77 + 8y = 5(5 + -1y) 77 + 8y = (5 * 5 + -1y * 5) 77 + 8y = (25 + -5y) Solving 77 + 8y = 25 + -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. 77 + 8y + 5y = 25 + -5y + 5y Combine like terms: 8y + 5y = 13y 77 + 13y = 25 + -5y + 5y Combine like terms: -5y + 5y = 0 77 + 13y = 25 + 0 77 + 13y = 25 Add '-77' to each side of the equation. 77 + -77 + 13y = 25 + -77 Combine like terms: 77 + -77 = 0 0 + 13y = 25 + -77 13y = 25 + -77 Combine like terms: 25 + -77 = -52 13y = -52 Divide each side by '13'. y = -4 Simplifying y = -4
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