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Simplifying 6(2y + 1) + -1(2y + 1) + -2 = 0 Reorder the terms: 6(1 + 2y) + -1(2y + 1) + -2 = 0 (1 * 6 + 2y * 6) + -1(2y + 1) + -2 = 0 (6 + 12y) + -1(2y + 1) + -2 = 0 Reorder the terms: 6 + 12y + -1(1 + 2y) + -2 = 0 6 + 12y + (1 * -1 + 2y * -1) + -2 = 0 6 + 12y + (-1 + -2y) + -2 = 0 Reorder the terms: 6 + -1 + -2 + 12y + -2y = 0 Combine like terms: 6 + -1 = 5 5 + -2 + 12y + -2y = 0 Combine like terms: 5 + -2 = 3 3 + 12y + -2y = 0 Combine like terms: 12y + -2y = 10y 3 + 10y = 0 Solving 3 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 10y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10y = 0 + -3 10y = 0 + -3 Combine like terms: 0 + -3 = -3 10y = -3 Divide each side by '10'. y = -0.3 Simplifying y = -0.3
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