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Simplifying 0.16(y + -9) + 0.06y = 0.14y + -0.09(10) Reorder the terms: 0.16(-9 + y) + 0.06y = 0.14y + -0.09(10) (-9 * 0.16 + y * 0.16) + 0.06y = 0.14y + -0.09(10) (-1.44 + 0.16y) + 0.06y = 0.14y + -0.09(10) Combine like terms: 0.16y + 0.06y = 0.22y -1.44 + 0.22y = 0.14y + -0.09(10) Multiply -0.09 * 10 -1.44 + 0.22y = 0.14y + -0.9 Reorder the terms: -1.44 + 0.22y = -0.9 + 0.14y Solving -1.44 + 0.22y = -0.9 + 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. -1.44 + 0.22y + -0.14y = -0.9 + 0.14y + -0.14y Combine like terms: 0.22y + -0.14y = 0.08y -1.44 + 0.08y = -0.9 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -1.44 + 0.08y = -0.9 + 0.00 -1.44 + 0.08y = -0.9 Add '1.44' to each side of the equation. -1.44 + 1.44 + 0.08y = -0.9 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 0.08y = -0.9 + 1.44 0.08y = -0.9 + 1.44 Combine like terms: -0.9 + 1.44 = 0.54 0.08y = 0.54 Divide each side by '0.08'. y = 6.75 Simplifying y = 6.75
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