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Simplifying 0.20(y + -9) = 6y + -10 Reorder the terms: 0.20(-9 + y) = 6y + -10 (-9 * 0.20 + y * 0.20) = 6y + -10 (-1.8 + 0.20y) = 6y + -10 Reorder the terms: -1.8 + 0.20y = -10 + 6y Solving -1.8 + 0.20y = -10 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -1.8 + 0.20y + -6y = -10 + 6y + -6y Combine like terms: 0.20y + -6y = -5.8y -1.8 + -5.8y = -10 + 6y + -6y Combine like terms: 6y + -6y = 0 -1.8 + -5.8y = -10 + 0 -1.8 + -5.8y = -10 Add '1.8' to each side of the equation. -1.8 + 1.8 + -5.8y = -10 + 1.8 Combine like terms: -1.8 + 1.8 = 0.0 0.0 + -5.8y = -10 + 1.8 -5.8y = -10 + 1.8 Combine like terms: -10 + 1.8 = -8.2 -5.8y = -8.2 Divide each side by '-5.8'. y = 1.413793103 Simplifying y = 1.413793103
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