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Simplifying 0.04(y + -4) + 0.18y = 0.02y + -0.05(10) Reorder the terms: 0.04(-4 + y) + 0.18y = 0.02y + -0.05(10) (-4 * 0.04 + y * 0.04) + 0.18y = 0.02y + -0.05(10) (-0.16 + 0.04y) + 0.18y = 0.02y + -0.05(10) Combine like terms: 0.04y + 0.18y = 0.22y -0.16 + 0.22y = 0.02y + -0.05(10) Multiply -0.05 * 10 -0.16 + 0.22y = 0.02y + -0.5 Reorder the terms: -0.16 + 0.22y = -0.5 + 0.02y Solving -0.16 + 0.22y = -0.5 + 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. -0.16 + 0.22y + -0.02y = -0.5 + 0.02y + -0.02y Combine like terms: 0.22y + -0.02y = 0.2y -0.16 + 0.2y = -0.5 + 0.02y + -0.02y Combine like terms: 0.02y + -0.02y = 0.00 -0.16 + 0.2y = -0.5 + 0.00 -0.16 + 0.2y = -0.5 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.2y = -0.5 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.2y = -0.5 + 0.16 0.2y = -0.5 + 0.16 Combine like terms: -0.5 + 0.16 = -0.34 0.2y = -0.34 Divide each side by '0.2'. y = -1.7 Simplifying y = -1.7
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