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Simplifying 0.20(y + -5) + 0.02y = 0.12y + -0.05(80) Reorder the terms: 0.20(-5 + y) + 0.02y = 0.12y + -0.05(80) (-5 * 0.20 + y * 0.20) + 0.02y = 0.12y + -0.05(80) (-1 + 0.20y) + 0.02y = 0.12y + -0.05(80) Combine like terms: 0.20y + 0.02y = 0.22y -1 + 0.22y = 0.12y + -0.05(80) Multiply -0.05 * 80 -1 + 0.22y = 0.12y + -4 Reorder the terms: -1 + 0.22y = -4 + 0.12y Solving -1 + 0.22y = -4 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -1 + 0.22y + -0.12y = -4 + 0.12y + -0.12y Combine like terms: 0.22y + -0.12y = 0.1y -1 + 0.1y = -4 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 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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