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Simplifying 0.10(y + -2) + 0.06y = 0.12 + -0.5 Reorder the terms: 0.10(-2 + y) + 0.06y = 0.12 + -0.5 (-2 * 0.10 + y * 0.10) + 0.06y = 0.12 + -0.5 (-0.2 + 0.10y) + 0.06y = 0.12 + -0.5 Combine like terms: 0.10y + 0.06y = 0.16y -0.2 + 0.16y = 0.12 + -0.5 Combine like terms: 0.12 + -0.5 = -0.38 -0.2 + 0.16y = -0.38 Solving -0.2 + 0.16y = -0.38 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.16y = -0.38 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.16y = -0.38 + 0.2 0.16y = -0.38 + 0.2 Combine like terms: -0.38 + 0.2 = -0.18 0.16y = -0.18 Divide each side by '0.16'. y = -1.125 Simplifying y = -1.125
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