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Simplifying 0.10(y + -5) + 0.12y = 0.02y + -0.01(40) Reorder the terms: 0.10(-5 + y) + 0.12y = 0.02y + -0.01(40) (-5 * 0.10 + y * 0.10) + 0.12y = 0.02y + -0.01(40) (-0.5 + 0.10y) + 0.12y = 0.02y + -0.01(40) Combine like terms: 0.10y + 0.12y = 0.22y -0.5 + 0.22y = 0.02y + -0.01(40) Multiply -0.01 * 40 -0.5 + 0.22y = 0.02y + -0.4 Reorder the terms: -0.5 + 0.22y = -0.4 + 0.02y Solving -0.5 + 0.22y = -0.4 + 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. -0.5 + 0.22y + -0.02y = -0.4 + 0.02y + -0.02y Combine like terms: 0.22y + -0.02y = 0.2y -0.5 + 0.2y = -0.4 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.5 + 0.2y = -0.4 + 0.00 -0.5 + 0.2y = -0.4 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.2y = -0.4 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.2y = -0.4 + 0.5 0.2y = -0.4 + 0.5 Combine like terms: -0.4 + 0.5 = 0.1 0.2y = 0.1 Divide each side by '0.2'. y = 0.5 Simplifying y = 0.5
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