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Simplifying 0.15y + -0.4 = 0.9y + 3.2 + -0.7y Reorder the terms: -0.4 + 0.15y = 0.9y + 3.2 + -0.7y Reorder the terms: -0.4 + 0.15y = 3.2 + 0.9y + -0.7y Combine like terms: 0.9y + -0.7y = 0.2y -0.4 + 0.15y = 3.2 + 0.2y Solving -0.4 + 0.15y = 3.2 + 0.2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.2y' to each side of the equation. -0.4 + 0.15y + -0.2y = 3.2 + 0.2y + -0.2y Combine like terms: 0.15y + -0.2y = -0.05y -0.4 + -0.05y = 3.2 + 0.2y + -0.2y Combine like terms: 0.2y + -0.2y = 0.0 -0.4 + -0.05y = 3.2 + 0.0 -0.4 + -0.05y = 3.2 Add '0.4' to each side of the equation. -0.4 + 0.4 + -0.05y = 3.2 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + -0.05y = 3.2 + 0.4 -0.05y = 3.2 + 0.4 Combine like terms: 3.2 + 0.4 = 3.6 -0.05y = 3.6 Divide each side by '-0.05'. y = -72 Simplifying y = -72
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