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Simplifying 7y + 14 = 6(y + 1) Reorder the terms: 14 + 7y = 6(y + 1) Reorder the terms: 14 + 7y = 6(1 + y) 14 + 7y = (1 * 6 + y * 6) 14 + 7y = (6 + 6y) Solving 14 + 7y = 6 + 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. 14 + 7y + -6y = 6 + 6y + -6y Combine like terms: 7y + -6y = 1y 14 + 1y = 6 + 6y + -6y Combine like terms: 6y + -6y = 0 14 + 1y = 6 + 0 14 + 1y = 6 Add '-14' to each side of the equation. 14 + -14 + 1y = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 1y = 6 + -14 1y = 6 + -14 Combine like terms: 6 + -14 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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