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Simplifying 0.08(y + -8) + 0.02y = 0.06y + -0.03(30) Reorder the terms: 0.08(-8 + y) + 0.02y = 0.06y + -0.03(30) (-8 * 0.08 + y * 0.08) + 0.02y = 0.06y + -0.03(30) (-0.64 + 0.08y) + 0.02y = 0.06y + -0.03(30) Combine like terms: 0.08y + 0.02y = 0.1y -0.64 + 0.1y = 0.06y + -0.03(30) Multiply -0.03 * 30 -0.64 + 0.1y = 0.06y + -0.9 Reorder the terms: -0.64 + 0.1y = -0.9 + 0.06y Solving -0.64 + 0.1y = -0.9 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.64 + 0.1y + -0.06y = -0.9 + 0.06y + -0.06y Combine like terms: 0.1y + -0.06y = 0.04y -0.64 + 0.04y = -0.9 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.64 + 0.04y = -0.9 + 0.00 -0.64 + 0.04y = -0.9 Add '0.64' to each side of the equation. -0.64 + 0.64 + 0.04y = -0.9 + 0.64 Combine like terms: -0.64 + 0.64 = 0.00 0.00 + 0.04y = -0.9 + 0.64 0.04y = -0.9 + 0.64 Combine like terms: -0.9 + 0.64 = -0.26 0.04y = -0.26 Divide each side by '0.04'. y = -6.5 Simplifying y = -6.5
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