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Simplifying 6(y + 3) + -2(y + -1) = 0 Reorder the terms: 6(3 + y) + -2(y + -1) = 0 (3 * 6 + y * 6) + -2(y + -1) = 0 (18 + 6y) + -2(y + -1) = 0 Reorder the terms: 18 + 6y + -2(-1 + y) = 0 18 + 6y + (-1 * -2 + y * -2) = 0 18 + 6y + (2 + -2y) = 0 Reorder the terms: 18 + 2 + 6y + -2y = 0 Combine like terms: 18 + 2 = 20 20 + 6y + -2y = 0 Combine like terms: 6y + -2y = 4y 20 + 4y = 0 Solving 20 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 4y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4y = 0 + -20 4y = 0 + -20 Combine like terms: 0 + -20 = -20 4y = -20 Divide each side by '4'. y = -5 Simplifying y = -5
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