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Simplifying 0.12(y + -5) + 0.04y = 0.06y + -0.5 Reorder the terms: 0.12(-5 + y) + 0.04y = 0.06y + -0.5 (-5 * 0.12 + y * 0.12) + 0.04y = 0.06y + -0.5 (-0.6 + 0.12y) + 0.04y = 0.06y + -0.5 Combine like terms: 0.12y + 0.04y = 0.16y -0.6 + 0.16y = 0.06y + -0.5 Reorder the terms: -0.6 + 0.16y = -0.5 + 0.06y Solving -0.6 + 0.16y = -0.5 + 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. -0.6 + 0.16y + -0.06y = -0.5 + 0.06y + -0.06y Combine like terms: 0.16y + -0.06y = 0.1y -0.6 + 0.1y = -0.5 + 0.06y + -0.06y Combine like terms: 0.06y + -0.06y = 0.00 -0.6 + 0.1y = -0.5 + 0.00 -0.6 + 0.1y = -0.5 Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.1y = -0.5 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.1y = -0.5 + 0.6 0.1y = -0.5 + 0.6 Combine like terms: -0.5 + 0.6 = 0.1 0.1y = 0.1 Divide each side by '0.1'. y = 1 Simplifying y = 1
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