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Simplifying 14(y + 2) = 2(6y + 7) Reorder the terms: 14(2 + y) = 2(6y + 7) (2 * 14 + y * 14) = 2(6y + 7) (28 + 14y) = 2(6y + 7) Reorder the terms: 28 + 14y = 2(7 + 6y) 28 + 14y = (7 * 2 + 6y * 2) 28 + 14y = (14 + 12y) Solving 28 + 14y = 14 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 28 + 14y + -12y = 14 + 12y + -12y Combine like terms: 14y + -12y = 2y 28 + 2y = 14 + 12y + -12y Combine like terms: 12y + -12y = 0 28 + 2y = 14 + 0 28 + 2y = 14 Add '-28' to each side of the equation. 28 + -28 + 2y = 14 + -28 Combine like terms: 28 + -28 = 0 0 + 2y = 14 + -28 2y = 14 + -28 Combine like terms: 14 + -28 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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