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Simplifying 5(y + 1) = 7 + 6y Reorder the terms: 5(1 + y) = 7 + 6y (1 * 5 + y * 5) = 7 + 6y (5 + 5y) = 7 + 6y Solving 5 + 5y = 7 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 5 + 5y + -6y = 7 + 6y + -6y Combine like terms: 5y + -6y = -1y 5 + -1y = 7 + 6y + -6y Combine like terms: 6y + -6y = 0 5 + -1y = 7 + 0 5 + -1y = 7 Add '-5' to each side of the equation. 5 + -5 + -1y = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 7 + -5 -1y = 7 + -5 Combine like terms: 7 + -5 = 2 -1y = 2 Divide each side by '-1'. y = -2 Simplifying y = -2
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