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Simplifying 0.5(4y + 8) + 0.5(2y + 6) = 0 Reorder the terms: 0.5(8 + 4y) + 0.5(2y + 6) = 0 (8 * 0.5 + 4y * 0.5) + 0.5(2y + 6) = 0 (4 + 2y) + 0.5(2y + 6) = 0 Reorder the terms: 4 + 2y + 0.5(6 + 2y) = 0 4 + 2y + (6 * 0.5 + 2y * 0.5) = 0 4 + 2y + (3 + 1y) = 0 Reorder the terms: 4 + 3 + 2y + 1y = 0 Combine like terms: 4 + 3 = 7 7 + 2y + 1y = 0 Combine like terms: 2y + 1y = 3y 7 + 3y = 0 Solving 7 + 3y = 0 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 + 3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3y = 0 + -7 3y = 0 + -7 Combine like terms: 0 + -7 = -7 3y = -7 Divide each side by '3'. y = -2.333333333 Simplifying y = -2.333333333
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