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Simplifying 0.06(y + -1) + 0.16y = 0.14y + -0.01(50) Reorder the terms: 0.06(-1 + y) + 0.16y = 0.14y + -0.01(50) (-1 * 0.06 + y * 0.06) + 0.16y = 0.14y + -0.01(50) (-0.06 + 0.06y) + 0.16y = 0.14y + -0.01(50) Combine like terms: 0.06y + 0.16y = 0.22y -0.06 + 0.22y = 0.14y + -0.01(50) Multiply -0.01 * 50 -0.06 + 0.22y = 0.14y + -0.5 Reorder the terms: -0.06 + 0.22y = -0.5 + 0.14y Solving -0.06 + 0.22y = -0.5 + 0.14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.14y' to each side of the equation. -0.06 + 0.22y + -0.14y = -0.5 + 0.14y + -0.14y Combine like terms: 0.22y + -0.14y = 0.08y -0.06 + 0.08y = -0.5 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.06 + 0.08y = -0.5 + 0.00 -0.06 + 0.08y = -0.5 Add '0.06' to each side of the equation. -0.06 + 0.06 + 0.08y = -0.5 + 0.06 Combine like terms: -0.06 + 0.06 = 0.00 0.00 + 0.08y = -0.5 + 0.06 0.08y = -0.5 + 0.06 Combine like terms: -0.5 + 0.06 = -0.44 0.08y = -0.44 Divide each side by '0.08'. y = -5.5 Simplifying y = -5.5
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