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Simplifying 0.25(y + -4) + 0.08y = 0.23y + -0.05(40) Reorder the terms: 0.25(-4 + y) + 0.08y = 0.23y + -0.05(40) (-4 * 0.25 + y * 0.25) + 0.08y = 0.23y + -0.05(40) (-1 + 0.25y) + 0.08y = 0.23y + -0.05(40) Combine like terms: 0.25y + 0.08y = 0.33y -1 + 0.33y = 0.23y + -0.05(40) Multiply -0.05 * 40 -1 + 0.33y = 0.23y + -2 Reorder the terms: -1 + 0.33y = -2 + 0.23y Solving -1 + 0.33y = -2 + 0.23y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.23y' to each side of the equation. -1 + 0.33y + -0.23y = -2 + 0.23y + -0.23y Combine like terms: 0.33y + -0.23y = 0.1y -1 + 0.1y = -2 + 0.23y + -0.23y Combine like terms: 0.23y + -0.23y = 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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