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Simplifying 6 + -1y = 14 + -2(y + 1) Reorder the terms: 6 + -1y = 14 + -2(1 + y) 6 + -1y = 14 + (1 * -2 + y * -2) 6 + -1y = 14 + (-2 + -2y) Combine like terms: 14 + -2 = 12 6 + -1y = 12 + -2y Solving 6 + -1y = 12 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 6 + -1y + 2y = 12 + -2y + 2y Combine like terms: -1y + 2y = 1y 6 + 1y = 12 + -2y + 2y Combine like terms: -2y + 2y = 0 6 + 1y = 12 + 0 6 + 1y = 12 Add '-6' to each side of the equation. 6 + -6 + 1y = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 1y = 12 + -6 1y = 12 + -6 Combine like terms: 12 + -6 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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