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Simplifying -0.6(Y + -0.9) = -0.3(Y + -1.8) Reorder the terms: -0.6(-0.9 + Y) = -0.3(Y + -1.8) (-0.9 * -0.6 + Y * -0.6) = -0.3(Y + -1.8) (0.54 + -0.6Y) = -0.3(Y + -1.8) Reorder the terms: 0.54 + -0.6Y = -0.3(-1.8 + Y) 0.54 + -0.6Y = (-1.8 * -0.3 + Y * -0.3) 0.54 + -0.6Y = (0.54 + -0.3Y) Add '-0.54' to each side of the equation. 0.54 + -0.54 + -0.6Y = 0.54 + -0.54 + -0.3Y Combine like terms: 0.54 + -0.54 = 0.00 0.00 + -0.6Y = 0.54 + -0.54 + -0.3Y -0.6Y = 0.54 + -0.54 + -0.3Y Combine like terms: 0.54 + -0.54 = 0.00 -0.6Y = 0.00 + -0.3Y -0.6Y = -0.3Y Solving -0.6Y = -0.3Y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '0.3Y' to each side of the equation. -0.6Y + 0.3Y = -0.3Y + 0.3Y Combine like terms: -0.6Y + 0.3Y = -0.3Y -0.3Y = -0.3Y + 0.3Y Combine like terms: -0.3Y + 0.3Y = 0.0 -0.3Y = 0.0 Divide each side by '-0.3'. Y = 0 Simplifying Y = 0
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