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Simplifying 0.10(y + -6) + 0.12 = 0.02 + -0.2 Reorder the terms: 0.10(-6 + y) + 0.12 = 0.02 + -0.2 (-6 * 0.10 + y * 0.10) + 0.12 = 0.02 + -0.2 (-0.6 + 0.10y) + 0.12 = 0.02 + -0.2 Reorder the terms: -0.6 + 0.12 + 0.10y = 0.02 + -0.2 Combine like terms: -0.6 + 0.12 = -0.48 -0.48 + 0.10y = 0.02 + -0.2 Combine like terms: 0.02 + -0.2 = -0.18 -0.48 + 0.10y = -0.18 Solving -0.48 + 0.10y = -0.18 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.48' to each side of the equation. -0.48 + 0.48 + 0.10y = -0.18 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 0.10y = -0.18 + 0.48 0.10y = -0.18 + 0.48 Combine like terms: -0.18 + 0.48 = 0.3 0.10y = 0.3 Divide each side by '0.10'. y = 3 Simplifying y = 3
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