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Simplifying 0.06(y + -2) + 0.08 = 0.10y + -0.05(40) Reorder the terms: 0.06(-2 + y) + 0.08 = 0.10y + -0.05(40) (-2 * 0.06 + y * 0.06) + 0.08 = 0.10y + -0.05(40) (-0.12 + 0.06y) + 0.08 = 0.10y + -0.05(40) Reorder the terms: -0.12 + 0.08 + 0.06y = 0.10y + -0.05(40) Combine like terms: -0.12 + 0.08 = -0.04 -0.04 + 0.06y = 0.10y + -0.05(40) Multiply -0.05 * 40 -0.04 + 0.06y = 0.10y + -2 Reorder the terms: -0.04 + 0.06y = -2 + 0.10y Solving -0.04 + 0.06y = -2 + 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. -0.04 + 0.06y + -0.10y = -2 + 0.10y + -0.10y Combine like terms: 0.06y + -0.10y = -0.04y -0.04 + -0.04y = -2 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.04 + -0.04y = -2 + 0.00 -0.04 + -0.04y = -2 Add '0.04' to each side of the equation. -0.04 + 0.04 + -0.04y = -2 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + -0.04y = -2 + 0.04 -0.04y = -2 + 0.04 Combine like terms: -2 + 0.04 = -1.96 -0.04y = -1.96 Divide each side by '-0.04'. y = 49 Simplifying y = 49
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