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Simplifying 0.12(y + -6) + 0.04y = 0.10y + -0.3 Reorder the terms: 0.12(-6 + y) + 0.04y = 0.10y + -0.3 (-6 * 0.12 + y * 0.12) + 0.04y = 0.10y + -0.3 (-0.72 + 0.12y) + 0.04y = 0.10y + -0.3 Combine like terms: 0.12y + 0.04y = 0.16y -0.72 + 0.16y = 0.10y + -0.3 Reorder the terms: -0.72 + 0.16y = -0.3 + 0.10y Solving -0.72 + 0.16y = -0.3 + 0.10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.10y' to each side of the equation. -0.72 + 0.16y + -0.10y = -0.3 + 0.10y + -0.10y Combine like terms: 0.16y + -0.10y = 0.06y -0.72 + 0.06y = -0.3 + 0.10y + -0.10y Combine like terms: 0.10y + -0.10y = 0.00 -0.72 + 0.06y = -0.3 + 0.00 -0.72 + 0.06y = -0.3 Add '0.72' to each side of the equation. -0.72 + 0.72 + 0.06y = -0.3 + 0.72 Combine like terms: -0.72 + 0.72 = 0.00 0.00 + 0.06y = -0.3 + 0.72 0.06y = -0.3 + 0.72 Combine like terms: -0.3 + 0.72 = 0.42 0.06y = 0.42 Divide each side by '0.06'. y = 7 Simplifying y = 7
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