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Simplifying 0.10(y + -5) + 0.06y = 0.14y + -0.6 Reorder the terms: 0.10(-5 + y) + 0.06y = 0.14y + -0.6 (-5 * 0.10 + y * 0.10) + 0.06y = 0.14y + -0.6 (-0.5 + 0.10y) + 0.06y = 0.14y + -0.6 Combine like terms: 0.10y + 0.06y = 0.16y -0.5 + 0.16y = 0.14y + -0.6 Reorder the terms: -0.5 + 0.16y = -0.6 + 0.14y Solving -0.5 + 0.16y = -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. -0.5 + 0.16y + -0.14y = -0.6 + 0.14y + -0.14y Combine like terms: 0.16y + -0.14y = 0.02y -0.5 + 0.02y = -0.6 + 0.14y + -0.14y Combine like terms: 0.14y + -0.14y = 0.00 -0.5 + 0.02y = -0.6 + 0.00 -0.5 + 0.02y = -0.6 Add '0.5' to each side of the equation. -0.5 + 0.5 + 0.02y = -0.6 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 0.02y = -0.6 + 0.5 0.02y = -0.6 + 0.5 Combine like terms: -0.6 + 0.5 = -0.1 0.02y = -0.1 Divide each side by '0.02'. y = -5 Simplifying y = -5
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