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Simplifying 0.06(y + -6) + 0.16y = 0.14y + -1 Reorder the terms: 0.06(-6 + y) + 0.16y = 0.14y + -1 (-6 * 0.06 + y * 0.06) + 0.16y = 0.14y + -1 (-0.36 + 0.06y) + 0.16y = 0.14y + -1 Combine like terms: 0.06y + 0.16y = 0.22y -0.36 + 0.22y = 0.14y + -1 Reorder the terms: -0.36 + 0.22y = -1 + 0.14y Solving -0.36 + 0.22y = -1 + 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. -0.36 + 0.22y + -0.14y = -1 + 0.14y + -0.14y Combine like terms: 0.22y + -0.14y = 0.08y -0.36 + 0.08y = -1 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.36 + 0.08y = -1 + 0.00 -0.36 + 0.08y = -1 Add '0.36' to each side of the equation. -0.36 + 0.36 + 0.08y = -1 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + 0.08y = -1 + 0.36 0.08y = -1 + 0.36 Combine like terms: -1 + 0.36 = -0.64 0.08y = -0.64 Divide each side by '0.08'. y = -8 Simplifying y = -8
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