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Simplifying -17.8 = -28.4y + -2.2(-2y + 4) Reorder the terms: -17.8 = -28.4y + -2.2(4 + -2y) -17.8 = -28.4y + (4 * -2.2 + -2y * -2.2) -17.8 = -28.4y + (-8.8 + 4.4y) Reorder the terms: -17.8 = -8.8 + -28.4y + 4.4y Combine like terms: -28.4y + 4.4y = -24y -17.8 = -8.8 + -24y Solving -17.8 = -8.8 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. -17.8 + 24y = -8.8 + -24y + 24y Combine like terms: -24y + 24y = 0 -17.8 + 24y = -8.8 + 0 -17.8 + 24y = -8.8 Add '17.8' to each side of the equation. -17.8 + 17.8 + 24y = -8.8 + 17.8 Combine like terms: -17.8 + 17.8 = 0.0 0.0 + 24y = -8.8 + 17.8 24y = -8.8 + 17.8 Combine like terms: -8.8 + 17.8 = 9 24y = 9 Divide each side by '24'. y = 0.375 Simplifying y = 0.375
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