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Simplifying 17(15y + -15) = 9(5y + 9) Reorder the terms: 17(-15 + 15y) = 9(5y + 9) (-15 * 17 + 15y * 17) = 9(5y + 9) (-255 + 255y) = 9(5y + 9) Reorder the terms: -255 + 255y = 9(9 + 5y) -255 + 255y = (9 * 9 + 5y * 9) -255 + 255y = (81 + 45y) Solving -255 + 255y = 81 + 45y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-45y' to each side of the equation. -255 + 255y + -45y = 81 + 45y + -45y Combine like terms: 255y + -45y = 210y -255 + 210y = 81 + 45y + -45y Combine like terms: 45y + -45y = 0 -255 + 210y = 81 + 0 -255 + 210y = 81 Add '255' to each side of the equation. -255 + 255 + 210y = 81 + 255 Combine like terms: -255 + 255 = 0 0 + 210y = 81 + 255 210y = 81 + 255 Combine like terms: 81 + 255 = 336 210y = 336 Divide each side by '210'. y = 1.6 Simplifying y = 1.6
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