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Simplifying 0.08(y + -3) + 0.14 = 0.06y + -0.01(40) Reorder the terms: 0.08(-3 + y) + 0.14 = 0.06y + -0.01(40) (-3 * 0.08 + y * 0.08) + 0.14 = 0.06y + -0.01(40) (-0.24 + 0.08y) + 0.14 = 0.06y + -0.01(40) Reorder the terms: -0.24 + 0.14 + 0.08y = 0.06y + -0.01(40) Combine like terms: -0.24 + 0.14 = -0.1 -0.1 + 0.08y = 0.06y + -0.01(40) Multiply -0.01 * 40 -0.1 + 0.08y = 0.06y + -0.4 Reorder the terms: -0.1 + 0.08y = -0.4 + 0.06y Solving -0.1 + 0.08y = -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. -0.1 + 0.08y + -0.06y = -0.4 + 0.06y + -0.06y Combine like terms: 0.08y + -0.06y = 0.02y -0.1 + 0.02y = -0.4 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.1 + 0.02y = -0.4 + 0.00 -0.1 + 0.02y = -0.4 Add '0.1' to each side of the equation. -0.1 + 0.1 + 0.02y = -0.4 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 0.02y = -0.4 + 0.1 0.02y = -0.4 + 0.1 Combine like terms: -0.4 + 0.1 = -0.3 0.02y = -0.3 Divide each side by '0.02'. y = -15 Simplifying y = -15
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