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Simplifying 0.08(y + -8) + 0.04 = 0.10y + -0.3 Reorder the terms: 0.08(-8 + y) + 0.04 = 0.10y + -0.3 (-8 * 0.08 + y * 0.08) + 0.04 = 0.10y + -0.3 (-0.64 + 0.08y) + 0.04 = 0.10y + -0.3 Reorder the terms: -0.64 + 0.04 + 0.08y = 0.10y + -0.3 Combine like terms: -0.64 + 0.04 = -0.6 -0.6 + 0.08y = 0.10y + -0.3 Reorder the terms: -0.6 + 0.08y = -0.3 + 0.10y Solving -0.6 + 0.08y = -0.3 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.6 + 0.08y + -0.10y = -0.3 + 0.10y + -0.10y Combine like terms: 0.08y + -0.10y = -0.02y -0.6 + -0.02y = -0.3 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.6 + -0.02y = -0.3 + 0.00 -0.6 + -0.02y = -0.3 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.02y = -0.3 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.02y = -0.3 + 0.6 -0.02y = -0.3 + 0.6 Combine like terms: -0.3 + 0.6 = 0.3 -0.02y = 0.3 Divide each side by '-0.02'. y = -15 Simplifying y = -15
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