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Simplifying 0.08(y + -6) + -0.06 = 0.04y + -0.09(10) Reorder the terms: 0.08(-6 + y) + -0.06 = 0.04y + -0.09(10) (-6 * 0.08 + y * 0.08) + -0.06 = 0.04y + -0.09(10) (-0.48 + 0.08y) + -0.06 = 0.04y + -0.09(10) Reorder the terms: -0.48 + -0.06 + 0.08y = 0.04y + -0.09(10) Combine like terms: -0.48 + -0.06 = -0.54 -0.54 + 0.08y = 0.04y + -0.09(10) Multiply -0.09 * 10 -0.54 + 0.08y = 0.04y + -0.9 Reorder the terms: -0.54 + 0.08y = -0.9 + 0.04y Solving -0.54 + 0.08y = -0.9 + 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. -0.54 + 0.08y + -0.04y = -0.9 + 0.04y + -0.04y Combine like terms: 0.08y + -0.04y = 0.04y -0.54 + 0.04y = -0.9 + 0.04y + -0.04y Combine like terms: 0.04y + -0.04y = 0.00 -0.54 + 0.04y = -0.9 + 0.00 -0.54 + 0.04y = -0.9 Add '0.54' to each side of the equation. -0.54 + 0.54 + 0.04y = -0.9 + 0.54 Combine like terms: -0.54 + 0.54 = 0.00 0.00 + 0.04y = -0.9 + 0.54 0.04y = -0.9 + 0.54 Combine like terms: -0.9 + 0.54 = -0.36 0.04y = -0.36 Divide each side by '0.04'. y = -9 Simplifying y = -9
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