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Simplifying 6(y + 2) + -5(y + 1) = -1 Reorder the terms: 6(2 + y) + -5(y + 1) = -1 (2 * 6 + y * 6) + -5(y + 1) = -1 (12 + 6y) + -5(y + 1) = -1 Reorder the terms: 12 + 6y + -5(1 + y) = -1 12 + 6y + (1 * -5 + y * -5) = -1 12 + 6y + (-5 + -5y) = -1 Reorder the terms: 12 + -5 + 6y + -5y = -1 Combine like terms: 12 + -5 = 7 7 + 6y + -5y = -1 Combine like terms: 6y + -5y = 1y 7 + 1y = -1 Solving 7 + 1y = -1 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1y = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 1y = -1 + -7 1y = -1 + -7 Combine like terms: -1 + -7 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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