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Simplifying 0.12(y + -5) + 0.10y = 0.02y + -0.09(20) Reorder the terms: 0.12(-5 + y) + 0.10y = 0.02y + -0.09(20) (-5 * 0.12 + y * 0.12) + 0.10y = 0.02y + -0.09(20) (-0.6 + 0.12y) + 0.10y = 0.02y + -0.09(20) Combine like terms: 0.12y + 0.10y = 0.22y -0.6 + 0.22y = 0.02y + -0.09(20) Multiply -0.09 * 20 -0.6 + 0.22y = 0.02y + -1.8 Reorder the terms: -0.6 + 0.22y = -1.8 + 0.02y Solving -0.6 + 0.22y = -1.8 + 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. -0.6 + 0.22y + -0.02y = -1.8 + 0.02y + -0.02y Combine like terms: 0.22y + -0.02y = 0.2y -0.6 + 0.2y = -1.8 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.6 + 0.2y = -1.8 + 0.00 -0.6 + 0.2y = -1.8 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.2y = -1.8 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.2y = -1.8 + 0.6 0.2y = -1.8 + 0.6 Combine like terms: -1.8 + 0.6 = -1.2 0.2y = -1.2 Divide each side by '0.2'. y = -6 Simplifying y = -6
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