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Simplifying 0.20(y + -5) + 0.03y = 0.13y + -0.05(40) Reorder the terms: 0.20(-5 + y) + 0.03y = 0.13y + -0.05(40) (-5 * 0.20 + y * 0.20) + 0.03y = 0.13y + -0.05(40) (-1 + 0.20y) + 0.03y = 0.13y + -0.05(40) Combine like terms: 0.20y + 0.03y = 0.23y -1 + 0.23y = 0.13y + -0.05(40) Multiply -0.05 * 40 -1 + 0.23y = 0.13y + -2 Reorder the terms: -1 + 0.23y = -2 + 0.13y Solving -1 + 0.23y = -2 + 0.13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.13y' to each side of the equation. -1 + 0.23y + -0.13y = -2 + 0.13y + -0.13y Combine like terms: 0.23y + -0.13y = 0.1y -1 + 0.1y = -2 + 0.13y + -0.13y Combine like terms: 0.13y + -0.13y = 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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