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Simplifying 0.25(y + -4) + 0.05y = 0.20y + -0.05(80) Reorder the terms: 0.25(-4 + y) + 0.05y = 0.20y + -0.05(80) (-4 * 0.25 + y * 0.25) + 0.05y = 0.20y + -0.05(80) (-1 + 0.25y) + 0.05y = 0.20y + -0.05(80) Combine like terms: 0.25y + 0.05y = 0.3y -1 + 0.3y = 0.20y + -0.05(80) Multiply -0.05 * 80 -1 + 0.3y = 0.20y + -4 Reorder the terms: -1 + 0.3y = -4 + 0.20y Solving -1 + 0.3y = -4 + 0.20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.20y' to each side of the equation. -1 + 0.3y + -0.20y = -4 + 0.20y + -0.20y Combine like terms: 0.3y + -0.20y = 0.1y -1 + 0.1y = -4 + 0.20y + -0.20y Combine like terms: 0.20y + -0.20y = 0.00 -1 + 0.1y = -4 + 0.00 -1 + 0.1y = -4 Add '1' to each side of the equation. -1 + 1 + 0.1y = -4 + 1 Combine like terms: -1 + 1 = 0 0 + 0.1y = -4 + 1 0.1y = -4 + 1 Combine like terms: -4 + 1 = -3 0.1y = -3 Divide each side by '0.1'. y = -30 Simplifying y = -30
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