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Simplifying 0.12(y + -2) + 0.10y = 0.02y + -0.6 Reorder the terms: 0.12(-2 + y) + 0.10y = 0.02y + -0.6 (-2 * 0.12 + y * 0.12) + 0.10y = 0.02y + -0.6 (-0.24 + 0.12y) + 0.10y = 0.02y + -0.6 Combine like terms: 0.12y + 0.10y = 0.22y -0.24 + 0.22y = 0.02y + -0.6 Reorder the terms: -0.24 + 0.22y = -0.6 + 0.02y Solving -0.24 + 0.22y = -0.6 + 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. -0.24 + 0.22y + -0.02y = -0.6 + 0.02y + -0.02y Combine like terms: 0.22y + -0.02y = 0.2y -0.24 + 0.2y = -0.6 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.24 + 0.2y = -0.6 + 0.00 -0.24 + 0.2y = -0.6 Add '0.24' to each side of the equation. -0.24 + 0.24 + 0.2y = -0.6 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + 0.2y = -0.6 + 0.24 0.2y = -0.6 + 0.24 Combine like terms: -0.6 + 0.24 = -0.36 0.2y = -0.36 Divide each side by '0.2'. y = -1.8 Simplifying y = -1.8
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