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Simplifying 0.02(y + -2) + 0.08y = 0.18y + -0.01(30) Reorder the terms: 0.02(-2 + y) + 0.08y = 0.18y + -0.01(30) (-2 * 0.02 + y * 0.02) + 0.08y = 0.18y + -0.01(30) (-0.04 + 0.02y) + 0.08y = 0.18y + -0.01(30) Combine like terms: 0.02y + 0.08y = 0.1y -0.04 + 0.1y = 0.18y + -0.01(30) Multiply -0.01 * 30 -0.04 + 0.1y = 0.18y + -0.3 Reorder the terms: -0.04 + 0.1y = -0.3 + 0.18y Solving -0.04 + 0.1y = -0.3 + 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. -0.04 + 0.1y + -0.18y = -0.3 + 0.18y + -0.18y Combine like terms: 0.1y + -0.18y = -0.08y -0.04 + -0.08y = -0.3 + 0.18y + -0.18y Combine like terms: 0.18y + -0.18y = 0.00 -0.04 + -0.08y = -0.3 + 0.00 -0.04 + -0.08y = -0.3 Add '0.04' to each side of the equation. -0.04 + 0.04 + -0.08y = -0.3 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + -0.08y = -0.3 + 0.04 -0.08y = -0.3 + 0.04 Combine like terms: -0.3 + 0.04 = -0.26 -0.08y = -0.26 Divide each side by '-0.08'. y = 3.25 Simplifying y = 3.25
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