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Simplifying 0.08(y + -5) + 0.12y = 0.10y + -0.07(20) Reorder the terms: 0.08(-5 + y) + 0.12y = 0.10y + -0.07(20) (-5 * 0.08 + y * 0.08) + 0.12y = 0.10y + -0.07(20) (-0.4 + 0.08y) + 0.12y = 0.10y + -0.07(20) Combine like terms: 0.08y + 0.12y = 0.2y -0.4 + 0.2y = 0.10y + -0.07(20) Multiply -0.07 * 20 -0.4 + 0.2y = 0.10y + -1.4 Reorder the terms: -0.4 + 0.2y = -1.4 + 0.10y Solving -0.4 + 0.2y = -1.4 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.4 + 0.2y + -0.10y = -1.4 + 0.10y + -0.10y Combine like terms: 0.2y + -0.10y = 0.1y -0.4 + 0.1y = -1.4 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.4 + 0.1y = -1.4 + 0.00 -0.4 + 0.1y = -1.4 Add '0.4' to each side of the equation. -0.4 + 0.4 + 0.1y = -1.4 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.1y = -1.4 + 0.4 0.1y = -1.4 + 0.4 Combine like terms: -1.4 + 0.4 = -1 0.1y = -1 Divide each side by '0.1'. y = -10 Simplifying y = -10
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