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Simplifying -14.2y + -19.58 = -8.6y + 19.81 + 18.29 Reorder the terms: -19.58 + -14.2y = -8.6y + 19.81 + 18.29 Reorder the terms: -19.58 + -14.2y = 19.81 + 18.29 + -8.6y Combine like terms: 19.81 + 18.29 = 38.1 -19.58 + -14.2y = 38.1 + -8.6y Solving -19.58 + -14.2y = 38.1 + -8.6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8.6y' to each side of the equation. -19.58 + -14.2y + 8.6y = 38.1 + -8.6y + 8.6y Combine like terms: -14.2y + 8.6y = -5.6y -19.58 + -5.6y = 38.1 + -8.6y + 8.6y Combine like terms: -8.6y + 8.6y = 0.0 -19.58 + -5.6y = 38.1 + 0.0 -19.58 + -5.6y = 38.1 Add '19.58' to each side of the equation. -19.58 + 19.58 + -5.6y = 38.1 + 19.58 Combine like terms: -19.58 + 19.58 = 0.00 0.00 + -5.6y = 38.1 + 19.58 -5.6y = 38.1 + 19.58 Combine like terms: 38.1 + 19.58 = 57.68 -5.6y = 57.68 Divide each side by '-5.6'. y = -10.3 Simplifying y = -10.3
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