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Simplifying 0.18(y + -9) + 0.04y = 0.02y + -0.05(40) Reorder the terms: 0.18(-9 + y) + 0.04y = 0.02y + -0.05(40) (-9 * 0.18 + y * 0.18) + 0.04y = 0.02y + -0.05(40) (-1.62 + 0.18y) + 0.04y = 0.02y + -0.05(40) Combine like terms: 0.18y + 0.04y = 0.22y -1.62 + 0.22y = 0.02y + -0.05(40) Multiply -0.05 * 40 -1.62 + 0.22y = 0.02y + -2 Reorder the terms: -1.62 + 0.22y = -2 + 0.02y Solving -1.62 + 0.22y = -2 + 0.02y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.02y' to each side of the equation. -1.62 + 0.22y + -0.02y = -2 + 0.02y + -0.02y Combine like terms: 0.22y + -0.02y = 0.2y -1.62 + 0.2y = -2 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -1.62 + 0.2y = -2 + 0.00 -1.62 + 0.2y = -2 Add '1.62' to each side of the equation. -1.62 + 1.62 + 0.2y = -2 + 1.62 Combine like terms: -1.62 + 1.62 = 0.00 0.00 + 0.2y = -2 + 1.62 0.2y = -2 + 1.62 Combine like terms: -2 + 1.62 = -0.38 0.2y = -0.38 Divide each side by '0.2'. y = -1.9 Simplifying y = -1.9
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