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Simplifying 1.5(y + -5) = 0.4 + -1y Reorder the terms: 1.5(-5 + y) = 0.4 + -1y (-5 * 1.5 + y * 1.5) = 0.4 + -1y (-7.5 + 1.5y) = 0.4 + -1y Solving -7.5 + 1.5y = 0.4 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -7.5 + 1.5y + y = 0.4 + -1y + y Combine like terms: 1.5y + y = 2.5y -7.5 + 2.5y = 0.4 + -1y + y Combine like terms: -1y + y = 0 -7.5 + 2.5y = 0.4 + 0 -7.5 + 2.5y = 0.4 Add '7.5' to each side of the equation. -7.5 + 7.5 + 2.5y = 0.4 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 2.5y = 0.4 + 7.5 2.5y = 0.4 + 7.5 Combine like terms: 0.4 + 7.5 = 7.9 2.5y = 7.9 Divide each side by '2.5'. y = 3.16 Simplifying y = 3.16
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