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Simplifying 0.12(y + -8) + 14y = 0.06y + -0.01(40) Reorder the terms: 0.12(-8 + y) + 14y = 0.06y + -0.01(40) (-8 * 0.12 + y * 0.12) + 14y = 0.06y + -0.01(40) (-0.96 + 0.12y) + 14y = 0.06y + -0.01(40) Combine like terms: 0.12y + 14y = 14.12y -0.96 + 14.12y = 0.06y + -0.01(40) Multiply -0.01 * 40 -0.96 + 14.12y = 0.06y + -0.4 Reorder the terms: -0.96 + 14.12y = -0.4 + 0.06y Solving -0.96 + 14.12y = -0.4 + 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. -0.96 + 14.12y + -0.06y = -0.4 + 0.06y + -0.06y Combine like terms: 14.12y + -0.06y = 14.06y -0.96 + 14.06y = -0.4 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.96 + 14.06y = -0.4 + 0.00 -0.96 + 14.06y = -0.4 Add '0.96' to each side of the equation. -0.96 + 0.96 + 14.06y = -0.4 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 14.06y = -0.4 + 0.96 14.06y = -0.4 + 0.96 Combine like terms: -0.4 + 0.96 = 0.56 14.06y = 0.56 Divide each side by '14.06'. y = 0.03982930299 Simplifying y = 0.03982930299
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