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Simplifying 0.9y + 3 = 0.4y + 1.5 Reorder the terms: 3 + 0.9y = 0.4y + 1.5 Reorder the terms: 3 + 0.9y = 1.5 + 0.4y Solving 3 + 0.9y = 1.5 + 0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4y' to each side of the equation. 3 + 0.9y + -0.4y = 1.5 + 0.4y + -0.4y Combine like terms: 0.9y + -0.4y = 0.5y 3 + 0.5y = 1.5 + 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 3 + 0.5y = 1.5 + 0.0 3 + 0.5y = 1.5 Add '-3' to each side of the equation. 3 + -3 + 0.5y = 1.5 + -3 Combine like terms: 3 + -3 = 0 0 + 0.5y = 1.5 + -3 0.5y = 1.5 + -3 Combine like terms: 1.5 + -3 = -1.5 0.5y = -1.5 Divide each side by '0.5'. y = -3 Simplifying y = -3
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