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Simplifying 0.10(y + -3) + 0.14y = 0.02y + -1.4 Reorder the terms: 0.10(-3 + y) + 0.14y = 0.02y + -1.4 (-3 * 0.10 + y * 0.10) + 0.14y = 0.02y + -1.4 (-0.3 + 0.10y) + 0.14y = 0.02y + -1.4 Combine like terms: 0.10y + 0.14y = 0.24y -0.3 + 0.24y = 0.02y + -1.4 Reorder the terms: -0.3 + 0.24y = -1.4 + 0.02y Solving -0.3 + 0.24y = -1.4 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -0.3 + 0.24y + -0.02y = -1.4 + 0.02y + -0.02y Combine like terms: 0.24y + -0.02y = 0.22y -0.3 + 0.22y = -1.4 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.3 + 0.22y = -1.4 + 0.00 -0.3 + 0.22y = -1.4 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.22y = -1.4 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.22y = -1.4 + 0.3 0.22y = -1.4 + 0.3 Combine like terms: -1.4 + 0.3 = -1.1 0.22y = -1.1 Divide each side by '0.22'. y = -5 Simplifying y = -5
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