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Simplifying 5(y + 7) = 1 + -1y Reorder the terms: 5(7 + y) = 1 + -1y (7 * 5 + y * 5) = 1 + -1y (35 + 5y) = 1 + -1y Solving 35 + 5y = 1 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 35 + 5y + y = 1 + -1y + y Combine like terms: 5y + y = 6y 35 + 6y = 1 + -1y + y Combine like terms: -1y + y = 0 35 + 6y = 1 + 0 35 + 6y = 1 Add '-35' to each side of the equation. 35 + -35 + 6y = 1 + -35 Combine like terms: 35 + -35 = 0 0 + 6y = 1 + -35 6y = 1 + -35 Combine like terms: 1 + -35 = -34 6y = -34 Divide each side by '6'. y = -5.666666667 Simplifying y = -5.666666667
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