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Simplifying 0.02(y + -9) + 0.08y = 0.04y + -0.03(10) Reorder the terms: 0.02(-9 + y) + 0.08y = 0.04y + -0.03(10) (-9 * 0.02 + y * 0.02) + 0.08y = 0.04y + -0.03(10) (-0.18 + 0.02y) + 0.08y = 0.04y + -0.03(10) Combine like terms: 0.02y + 0.08y = 0.1y -0.18 + 0.1y = 0.04y + -0.03(10) Multiply -0.03 * 10 -0.18 + 0.1y = 0.04y + -0.3 Reorder the terms: -0.18 + 0.1y = -0.3 + 0.04y Solving -0.18 + 0.1y = -0.3 + 0.04y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.04y' to each side of the equation. -0.18 + 0.1y + -0.04y = -0.3 + 0.04y + -0.04y Combine like terms: 0.1y + -0.04y = 0.06y -0.18 + 0.06y = -0.3 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.18 + 0.06y = -0.3 + 0.00 -0.18 + 0.06y = -0.3 Add '0.18' to each side of the equation. -0.18 + 0.18 + 0.06y = -0.3 + 0.18 Combine like terms: -0.18 + 0.18 = 0.00 0.00 + 0.06y = -0.3 + 0.18 0.06y = -0.3 + 0.18 Combine like terms: -0.3 + 0.18 = -0.12 0.06y = -0.12 Divide each side by '0.06'. y = -2 Simplifying y = -2
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