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Simplifying 0.16(y + -6) + 0.14y = 0.08y + -0.01(30) Reorder the terms: 0.16(-6 + y) + 0.14y = 0.08y + -0.01(30) (-6 * 0.16 + y * 0.16) + 0.14y = 0.08y + -0.01(30) (-0.96 + 0.16y) + 0.14y = 0.08y + -0.01(30) Combine like terms: 0.16y + 0.14y = 0.3y -0.96 + 0.3y = 0.08y + -0.01(30) Multiply -0.01 * 30 -0.96 + 0.3y = 0.08y + -0.3 Reorder the terms: -0.96 + 0.3y = -0.3 + 0.08y Solving -0.96 + 0.3y = -0.3 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.96 + 0.3y + -0.08y = -0.3 + 0.08y + -0.08y Combine like terms: 0.3y + -0.08y = 0.22y -0.96 + 0.22y = -0.3 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.96 + 0.22y = -0.3 + 0.00 -0.96 + 0.22y = -0.3 Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.22y = -0.3 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.22y = -0.3 + 0.96 0.22y = -0.3 + 0.96 Combine like terms: -0.3 + 0.96 = 0.66 0.22y = 0.66 Divide each side by '0.22'. y = 3 Simplifying y = 3
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