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Simplifying 0.02(y + -6) + 0.04y = 0.14y + -0.6 Reorder the terms: 0.02(-6 + y) + 0.04y = 0.14y + -0.6 (-6 * 0.02 + y * 0.02) + 0.04y = 0.14y + -0.6 (-0.12 + 0.02y) + 0.04y = 0.14y + -0.6 Combine like terms: 0.02y + 0.04y = 0.06y -0.12 + 0.06y = 0.14y + -0.6 Reorder the terms: -0.12 + 0.06y = -0.6 + 0.14y Solving -0.12 + 0.06y = -0.6 + 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. -0.12 + 0.06y + -0.14y = -0.6 + 0.14y + -0.14y Combine like terms: 0.06y + -0.14y = -0.08y -0.12 + -0.08y = -0.6 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.12 + -0.08y = -0.6 + 0.00 -0.12 + -0.08y = -0.6 Add '0.12' to each side of the equation. -0.12 + 0.12 + -0.08y = -0.6 + 0.12 Combine like terms: -0.12 + 0.12 = 0.00 0.00 + -0.08y = -0.6 + 0.12 -0.08y = -0.6 + 0.12 Combine like terms: -0.6 + 0.12 = -0.48 -0.08y = -0.48 Divide each side by '-0.08'. y = 6 Simplifying y = 6
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