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Simplifying 0.06(y + -6) + 0.04y = 0.14y + -0.10 Reorder the terms: 0.06(-6 + y) + 0.04y = 0.14y + -0.10 (-6 * 0.06 + y * 0.06) + 0.04y = 0.14y + -0.10 (-0.36 + 0.06y) + 0.04y = 0.14y + -0.10 Combine like terms: 0.06y + 0.04y = 0.1y -0.36 + 0.1y = 0.14y + -0.10 Reorder the terms: -0.36 + 0.1y = -0.10 + 0.14y Solving -0.36 + 0.1y = -0.10 + 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. -0.36 + 0.1y + -0.14y = -0.10 + 0.14y + -0.14y Combine like terms: 0.1y + -0.14y = -0.04y -0.36 + -0.04y = -0.10 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.36 + -0.04y = -0.10 + 0.00 -0.36 + -0.04y = -0.10 Add '0.36' to each side of the equation. -0.36 + 0.36 + -0.04y = -0.10 + 0.36 Combine like terms: -0.36 + 0.36 = 0.00 0.00 + -0.04y = -0.10 + 0.36 -0.04y = -0.10 + 0.36 Combine like terms: -0.10 + 0.36 = 0.26 -0.04y = 0.26 Divide each side by '-0.04'. y = -6.5 Simplifying y = -6.5
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