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Simplifying 0.05(y + -20) + 0.08y = 0.03y + -0.05(40) Reorder the terms: 0.05(-20 + y) + 0.08y = 0.03y + -0.05(40) (-20 * 0.05 + y * 0.05) + 0.08y = 0.03y + -0.05(40) (-1 + 0.05y) + 0.08y = 0.03y + -0.05(40) Combine like terms: 0.05y + 0.08y = 0.13y -1 + 0.13y = 0.03y + -0.05(40) Multiply -0.05 * 40 -1 + 0.13y = 0.03y + -2 Reorder the terms: -1 + 0.13y = -2 + 0.03y Solving -1 + 0.13y = -2 + 0.03y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.03y' to each side of the equation. -1 + 0.13y + -0.03y = -2 + 0.03y + -0.03y Combine like terms: 0.13y + -0.03y = 0.1y -1 + 0.1y = -2 + 0.03y + -0.03y Combine like terms: 0.03y + -0.03y = 0.00 -1 + 0.1y = -2 + 0.00 -1 + 0.1y = -2 Add '1' to each side of the equation. -1 + 1 + 0.1y = -2 + 1 Combine like terms: -1 + 1 = 0 0 + 0.1y = -2 + 1 0.1y = -2 + 1 Combine like terms: -2 + 1 = -1 0.1y = -1 Divide each side by '0.1'. y = -10 Simplifying y = -10
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