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Simplifying 8(-0.5Y + -0.5) + 16 = 5Y + 3 Reorder the terms: 8(-0.5 + -0.5Y) + 16 = 5Y + 3 (-0.5 * 8 + -0.5Y * 8) + 16 = 5Y + 3 (-4 + -4Y) + 16 = 5Y + 3 Reorder the terms: -4 + 16 + -4Y = 5Y + 3 Combine like terms: -4 + 16 = 12 12 + -4Y = 5Y + 3 Reorder the terms: 12 + -4Y = 3 + 5Y Solving 12 + -4Y = 3 + 5Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-5Y' to each side of the equation. 12 + -4Y + -5Y = 3 + 5Y + -5Y Combine like terms: -4Y + -5Y = -9Y 12 + -9Y = 3 + 5Y + -5Y Combine like terms: 5Y + -5Y = 0 12 + -9Y = 3 + 0 12 + -9Y = 3 Add '-12' to each side of the equation. 12 + -12 + -9Y = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -9Y = 3 + -12 -9Y = 3 + -12 Combine like terms: 3 + -12 = -9 -9Y = -9 Divide each side by '-9'. Y = 1 Simplifying Y = 1
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