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Simplifying 0.02(y + -6) + 0.06y = 0.16y + -0.03(30) Reorder the terms: 0.02(-6 + y) + 0.06y = 0.16y + -0.03(30) (-6 * 0.02 + y * 0.02) + 0.06y = 0.16y + -0.03(30) (-0.12 + 0.02y) + 0.06y = 0.16y + -0.03(30) Combine like terms: 0.02y + 0.06y = 0.08y -0.12 + 0.08y = 0.16y + -0.03(30) Multiply -0.03 * 30 -0.12 + 0.08y = 0.16y + -0.9 Reorder the terms: -0.12 + 0.08y = -0.9 + 0.16y Solving -0.12 + 0.08y = -0.9 + 0.16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.16y' to each side of the equation. -0.12 + 0.08y + -0.16y = -0.9 + 0.16y + -0.16y Combine like terms: 0.08y + -0.16y = -0.08y -0.12 + -0.08y = -0.9 + 0.16y + -0.16y Combine like terms: 0.16y + -0.16y = 0.00 -0.12 + -0.08y = -0.9 + 0.00 -0.12 + -0.08y = -0.9 Add '0.12' to each side of the equation. -0.12 + 0.12 + -0.08y = -0.9 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + -0.08y = -0.9 + 0.12 -0.08y = -0.9 + 0.12 Combine like terms: -0.9 + 0.12 = -0.78 -0.08y = -0.78 Divide each side by '-0.08'. y = 9.75 Simplifying y = 9.75
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