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Simplifying 0.20(y + -5) + 0.02y = 0.18y + -0.07(20) Reorder the terms: 0.20(-5 + y) + 0.02y = 0.18y + -0.07(20) (-5 * 0.20 + y * 0.20) + 0.02y = 0.18y + -0.07(20) (-1 + 0.20y) + 0.02y = 0.18y + -0.07(20) Combine like terms: 0.20y + 0.02y = 0.22y -1 + 0.22y = 0.18y + -0.07(20) Multiply -0.07 * 20 -1 + 0.22y = 0.18y + -1.4 Reorder the terms: -1 + 0.22y = -1.4 + 0.18y Solving -1 + 0.22y = -1.4 + 0.18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.18y' to each side of the equation. -1 + 0.22y + -0.18y = -1.4 + 0.18y + -0.18y Combine like terms: 0.22y + -0.18y = 0.04y -1 + 0.04y = -1.4 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -1 + 0.04y = -1.4 + 0.00 -1 + 0.04y = -1.4 Add '1' to each side of the equation. -1 + 1 + 0.04y = -1.4 + 1 Combine like terms: -1 + 1 = 0 0 + 0.04y = -1.4 + 1 0.04y = -1.4 + 1 Combine like terms: -1.4 + 1 = -0.4 0.04y = -0.4 Divide each side by '0.04'. y = -10 Simplifying y = -10
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