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Simplifying 0.10(y + -5) + 0.02y = 0.08y + -0.01(20) Reorder the terms: 0.10(-5 + y) + 0.02y = 0.08y + -0.01(20) (-5 * 0.10 + y * 0.10) + 0.02y = 0.08y + -0.01(20) (-0.5 + 0.10y) + 0.02y = 0.08y + -0.01(20) Combine like terms: 0.10y + 0.02y = 0.12y -0.5 + 0.12y = 0.08y + -0.01(20) Multiply -0.01 * 20 -0.5 + 0.12y = 0.08y + -0.2 Reorder the terms: -0.5 + 0.12y = -0.2 + 0.08y Solving -0.5 + 0.12y = -0.2 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.5 + 0.12y + -0.08y = -0.2 + 0.08y + -0.08y Combine like terms: 0.12y + -0.08y = 0.04y -0.5 + 0.04y = -0.2 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.5 + 0.04y = -0.2 + 0.00 -0.5 + 0.04y = -0.2 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.04y = -0.2 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.04y = -0.2 + 0.5 0.04y = -0.2 + 0.5 Combine like terms: -0.2 + 0.5 = 0.3 0.04y = 0.3 Divide each side by '0.04'. y = 7.5 Simplifying y = 7.5
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