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Simplifying 0.04(y + -3) + 0.02y = 0.10y + -0.01(40) Reorder the terms: 0.04(-3 + y) + 0.02y = 0.10y + -0.01(40) (-3 * 0.04 + y * 0.04) + 0.02y = 0.10y + -0.01(40) (-0.12 + 0.04y) + 0.02y = 0.10y + -0.01(40) Combine like terms: 0.04y + 0.02y = 0.06y -0.12 + 0.06y = 0.10y + -0.01(40) Multiply -0.01 * 40 -0.12 + 0.06y = 0.10y + -0.4 Reorder the terms: -0.12 + 0.06y = -0.4 + 0.10y Solving -0.12 + 0.06y = -0.4 + 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. -0.12 + 0.06y + -0.10y = -0.4 + 0.10y + -0.10y Combine like terms: 0.06y + -0.10y = -0.04y -0.12 + -0.04y = -0.4 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.12 + -0.04y = -0.4 + 0.00 -0.12 + -0.04y = -0.4 Add '0.12' to each side of the equation. -0.12 + 0.12 + -0.04y = -0.4 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + -0.04y = -0.4 + 0.12 -0.04y = -0.4 + 0.12 Combine like terms: -0.4 + 0.12 = -0.28 -0.04y = -0.28 Divide each side by '-0.04'. y = 7 Simplifying y = 7
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