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Simplifying 0.04(y + -5) + 0.10y = 0.06y + -0.03(30) Reorder the terms: 0.04(-5 + y) + 0.10y = 0.06y + -0.03(30) (-5 * 0.04 + y * 0.04) + 0.10y = 0.06y + -0.03(30) (-0.2 + 0.04y) + 0.10y = 0.06y + -0.03(30) Combine like terms: 0.04y + 0.10y = 0.14y -0.2 + 0.14y = 0.06y + -0.03(30) Multiply -0.03 * 30 -0.2 + 0.14y = 0.06y + -0.9 Reorder the terms: -0.2 + 0.14y = -0.9 + 0.06y Solving -0.2 + 0.14y = -0.9 + 0.06y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.06y' to each side of the equation. -0.2 + 0.14y + -0.06y = -0.9 + 0.06y + -0.06y Combine like terms: 0.14y + -0.06y = 0.08y -0.2 + 0.08y = -0.9 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.2 + 0.08y = -0.9 + 0.00 -0.2 + 0.08y = -0.9 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.08y = -0.9 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.08y = -0.9 + 0.2 0.08y = -0.9 + 0.2 Combine like terms: -0.9 + 0.2 = -0.7 0.08y = -0.7 Divide each side by '0.08'. y = -8.75 Simplifying y = -8.75
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