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Simplifying 0.06(y + -8) + 0.02y + -0.01(30) = 0 Reorder the terms: 0.06(-8 + y) + 0.02y + -0.01(30) = 0 (-8 * 0.06 + y * 0.06) + 0.02y + -0.01(30) = 0 (-0.48 + 0.06y) + 0.02y + -0.01(30) = 0 Multiply -0.01 * 30 -0.48 + 0.06y + 0.02y + -0.3 = 0 Reorder the terms: -0.48 + -0.3 + 0.06y + 0.02y = 0 Combine like terms: -0.48 + -0.3 = -0.78 -0.78 + 0.06y + 0.02y = 0 Combine like terms: 0.06y + 0.02y = 0.08y -0.78 + 0.08y = 0 Solving -0.78 + 0.08y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.78' to each side of the equation. -0.78 + 0.78 + 0.08y = 0 + 0.78 Combine like terms: -0.78 + 0.78 = 0.00 0.00 + 0.08y = 0 + 0.78 0.08y = 0 + 0.78 Combine like terms: 0 + 0.78 = 0.78 0.08y = 0.78 Divide each side by '0.08'. y = 9.75 Simplifying y = 9.75
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