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Simplifying 0.25(16 + 4y) + -0.5(6 + 2Y) = 0 (16 * 0.25 + 4y * 0.25) + -0.5(6 + 2Y) = 0 (4 + 1y) + -0.5(6 + 2Y) = 0 4 + 1y + (6 * -0.5 + 2Y * -0.5) = 0 4 + 1y + (-3 + -1Y) = 0 Reorder the terms: 4 + -3 + -1Y + 1y = 0 Combine like terms: 4 + -3 = 1 1 + -1Y + 1y = 0 Solving 1 + -1Y + 1y = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1Y + -1 + 1y = 0 + -1 Reorder the terms: 1 + -1 + -1Y + 1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1Y + 1y = 0 + -1 -1Y + 1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1Y + 1y = -1 Add '-1y' to each side of the equation. -1Y + 1y + -1y = -1 + -1y Combine like terms: 1y + -1y = 0 -1Y + 0 = -1 + -1y -1Y = -1 + -1y Divide each side by '-1'. Y = 1 + y Simplifying Y = 1 + y
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