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Simplifying 0.20y + -1.6 = 0.10y + 2 + -0.8y Reorder the terms: -1.6 + 0.20y = 0.10y + 2 + -0.8y Reorder the terms: -1.6 + 0.20y = 2 + 0.10y + -0.8y Combine like terms: 0.10y + -0.8y = -0.7y -1.6 + 0.20y = 2 + -0.7y Solving -1.6 + 0.20y = 2 + -0.7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '0.7y' to each side of the equation. -1.6 + 0.20y + 0.7y = 2 + -0.7y + 0.7y Combine like terms: 0.20y + 0.7y = 0.9y -1.6 + 0.9y = 2 + -0.7y + 0.7y Combine like terms: -0.7y + 0.7y = 0.0 -1.6 + 0.9y = 2 + 0.0 -1.6 + 0.9y = 2 Add '1.6' to each side of the equation. -1.6 + 1.6 + 0.9y = 2 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + 0.9y = 2 + 1.6 0.9y = 2 + 1.6 Combine like terms: 2 + 1.6 = 3.6 0.9y = 3.6 Divide each side by '0.9'. y = 4 Simplifying y = 4
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