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Simplifying y + -3.8y + -6 = 1.9(y + 6) Reorder the terms: -6 + y + -3.8y = 1.9(y + 6) Combine like terms: y + -3.8y = -2.8y -6 + -2.8y = 1.9(y + 6) Reorder the terms: -6 + -2.8y = 1.9(6 + y) -6 + -2.8y = (6 * 1.9 + y * 1.9) -6 + -2.8y = (11.4 + 1.9y) Solving -6 + -2.8y = 11.4 + 1.9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1.9y' to each side of the equation. -6 + -2.8y + -1.9y = 11.4 + 1.9y + -1.9y Combine like terms: -2.8y + -1.9y = -4.7y -6 + -4.7y = 11.4 + 1.9y + -1.9y Combine like terms: 1.9y + -1.9y = 0.0 -6 + -4.7y = 11.4 + 0.0 -6 + -4.7y = 11.4 Add '6' to each side of the equation. -6 + 6 + -4.7y = 11.4 + 6 Combine like terms: -6 + 6 = 0 0 + -4.7y = 11.4 + 6 -4.7y = 11.4 + 6 Combine like terms: 11.4 + 6 = 17.4 -4.7y = 17.4 Divide each side by '-4.7'. y = -3.70212766 Simplifying y = -3.70212766
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