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Simplifying 0.06(y + -4) + 0.14y = 0.4y + -0.01(40) Reorder the terms: 0.06(-4 + y) + 0.14y = 0.4y + -0.01(40) (-4 * 0.06 + y * 0.06) + 0.14y = 0.4y + -0.01(40) (-0.24 + 0.06y) + 0.14y = 0.4y + -0.01(40) Combine like terms: 0.06y + 0.14y = 0.2y -0.24 + 0.2y = 0.4y + -0.01(40) Multiply -0.01 * 40 -0.24 + 0.2y = 0.4y + -0.4 Reorder the terms: -0.24 + 0.2y = -0.4 + 0.4y Solving -0.24 + 0.2y = -0.4 + 0.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.4y' to each side of the equation. -0.24 + 0.2y + -0.4y = -0.4 + 0.4y + -0.4y Combine like terms: 0.2y + -0.4y = -0.2y -0.24 + -0.2y = -0.4 + 0.4y + -0.4y Combine like terms: 0.4y + -0.4y = 0.0 -0.24 + -0.2y = -0.4 + 0.0 -0.24 + -0.2y = -0.4 Add '0.24' to each side of the equation. -0.24 + 0.24 + -0.2y = -0.4 + 0.24 Combine like terms: -0.24 + 0.24 = 0.00 0.00 + -0.2y = -0.4 + 0.24 -0.2y = -0.4 + 0.24 Combine like terms: -0.4 + 0.24 = -0.16 -0.2y = -0.16 Divide each side by '-0.2'. y = 0.8 Simplifying y = 0.8
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