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Simplifying 12(y + 1) + 6 = 2y + 8 Reorder the terms: 12(1 + y) + 6 = 2y + 8 (1 * 12 + y * 12) + 6 = 2y + 8 (12 + 12y) + 6 = 2y + 8 Reorder the terms: 12 + 6 + 12y = 2y + 8 Combine like terms: 12 + 6 = 18 18 + 12y = 2y + 8 Reorder the terms: 18 + 12y = 8 + 2y Solving 18 + 12y = 8 + 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. 18 + 12y + -2y = 8 + 2y + -2y Combine like terms: 12y + -2y = 10y 18 + 10y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 18 + 10y = 8 + 0 18 + 10y = 8 Add '-18' to each side of the equation. 18 + -18 + 10y = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 10y = 8 + -18 10y = 8 + -18 Combine like terms: 8 + -18 = -10 10y = -10 Divide each side by '10'. y = -1 Simplifying y = -1
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