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Simplifying 6(y + 2) + -4(y + 1) = -12 Reorder the terms: 6(2 + y) + -4(y + 1) = -12 (2 * 6 + y * 6) + -4(y + 1) = -12 (12 + 6y) + -4(y + 1) = -12 Reorder the terms: 12 + 6y + -4(1 + y) = -12 12 + 6y + (1 * -4 + y * -4) = -12 12 + 6y + (-4 + -4y) = -12 Reorder the terms: 12 + -4 + 6y + -4y = -12 Combine like terms: 12 + -4 = 8 8 + 6y + -4y = -12 Combine like terms: 6y + -4y = 2y 8 + 2y = -12 Solving 8 + 2y = -12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2y = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = -12 + -8 2y = -12 + -8 Combine like terms: -12 + -8 = -20 2y = -20 Divide each side by '2'. y = -10 Simplifying y = -10
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