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Simplifying 0.06(y + -9) + 0.08y = 0.10y + -0.5 Reorder the terms: 0.06(-9 + y) + 0.08y = 0.10y + -0.5 (-9 * 0.06 + y * 0.06) + 0.08y = 0.10y + -0.5 (-0.54 + 0.06y) + 0.08y = 0.10y + -0.5 Combine like terms: 0.06y + 0.08y = 0.14y -0.54 + 0.14y = 0.10y + -0.5 Reorder the terms: -0.54 + 0.14y = -0.5 + 0.10y Solving -0.54 + 0.14y = -0.5 + 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. -0.54 + 0.14y + -0.10y = -0.5 + 0.10y + -0.10y Combine like terms: 0.14y + -0.10y = 0.04y -0.54 + 0.04y = -0.5 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.54 + 0.04y = -0.5 + 0.00 -0.54 + 0.04y = -0.5 Add '0.54' to each side of the equation. -0.54 + 0.54 + 0.04y = -0.5 + 0.54 Combine like terms: -0.54 + 0.54 = 0.00 0.00 + 0.04y = -0.5 + 0.54 0.04y = -0.5 + 0.54 Combine like terms: -0.5 + 0.54 = 0.04 0.04y = 0.04 Divide each side by '0.04'. y = 1 Simplifying y = 1
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