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Simplifying 0.4y + -0.2 + -2 = 1.5y + -2.5 + 3 Reorder the terms: -0.2 + -2 + 0.4y = 1.5y + -2.5 + 3 Combine like terms: -0.2 + -2 = -2.2 -2.2 + 0.4y = 1.5y + -2.5 + 3 Reorder the terms: -2.2 + 0.4y = -2.5 + 3 + 1.5y Combine like terms: -2.5 + 3 = 0.5 -2.2 + 0.4y = 0.5 + 1.5y Solving -2.2 + 0.4y = 0.5 + 1.5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.5y' to each side of the equation. -2.2 + 0.4y + -1.5y = 0.5 + 1.5y + -1.5y Combine like terms: 0.4y + -1.5y = -1.1y -2.2 + -1.1y = 0.5 + 1.5y + -1.5y Combine like terms: 1.5y + -1.5y = 0.0 -2.2 + -1.1y = 0.5 + 0.0 -2.2 + -1.1y = 0.5 Add '2.2' to each side of the equation. -2.2 + 2.2 + -1.1y = 0.5 + 2.2 Combine like terms: -2.2 + 2.2 = 0.0 0.0 + -1.1y = 0.5 + 2.2 -1.1y = 0.5 + 2.2 Combine like terms: 0.5 + 2.2 = 2.7 -1.1y = 2.7 Divide each side by '-1.1'. y = -2.454545455 Simplifying y = -2.454545455
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