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Simplifying 0.16(y + -6) + 0.14y = 0.06y + -0.03(30) Reorder the terms: 0.16(-6 + y) + 0.14y = 0.06y + -0.03(30) (-6 * 0.16 + y * 0.16) + 0.14y = 0.06y + -0.03(30) (-0.96 + 0.16y) + 0.14y = 0.06y + -0.03(30) Combine like terms: 0.16y + 0.14y = 0.3y -0.96 + 0.3y = 0.06y + -0.03(30) Multiply -0.03 * 30 -0.96 + 0.3y = 0.06y + -0.9 Reorder the terms: -0.96 + 0.3y = -0.9 + 0.06y Solving -0.96 + 0.3y = -0.9 + 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. -0.96 + 0.3y + -0.06y = -0.9 + 0.06y + -0.06y Combine like terms: 0.3y + -0.06y = 0.24y -0.96 + 0.24y = -0.9 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.96 + 0.24y = -0.9 + 0.00 -0.96 + 0.24y = -0.9 Add '0.96' to each side of the equation. -0.96 + 0.96 + 0.24y = -0.9 + 0.96 Combine like terms: -0.96 + 0.96 = 0.00 0.00 + 0.24y = -0.9 + 0.96 0.24y = -0.9 + 0.96 Combine like terms: -0.9 + 0.96 = 0.06 0.24y = 0.06 Divide each side by '0.24'. y = 0.25 Simplifying y = 0.25
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