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Simplifying 2(y + 7) + -1y = 6(2 + -1y) Reorder the terms: 2(7 + y) + -1y = 6(2 + -1y) (7 * 2 + y * 2) + -1y = 6(2 + -1y) (14 + 2y) + -1y = 6(2 + -1y) Combine like terms: 2y + -1y = 1y 14 + 1y = 6(2 + -1y) 14 + 1y = (2 * 6 + -1y * 6) 14 + 1y = (12 + -6y) Solving 14 + 1y = 12 + -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 + 1y + 6y = 12 + -6y + 6y Combine like terms: 1y + 6y = 7y 14 + 7y = 12 + -6y + 6y Combine like terms: -6y + 6y = 0 14 + 7y = 12 + 0 14 + 7y = 12 Add '-14' to each side of the equation. 14 + -14 + 7y = 12 + -14 Combine like terms: 14 + -14 = 0 0 + 7y = 12 + -14 7y = 12 + -14 Combine like terms: 12 + -14 = -2 7y = -2 Divide each side by '7'. y = -0.2857142857 Simplifying y = -0.2857142857
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