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Simplifying -73 + 15y + 2 = 6(4y + -3) + -8 Reorder the terms: -73 + 2 + 15y = 6(4y + -3) + -8 Combine like terms: -73 + 2 = -71 -71 + 15y = 6(4y + -3) + -8 Reorder the terms: -71 + 15y = 6(-3 + 4y) + -8 -71 + 15y = (-3 * 6 + 4y * 6) + -8 -71 + 15y = (-18 + 24y) + -8 Reorder the terms: -71 + 15y = -18 + -8 + 24y Combine like terms: -18 + -8 = -26 -71 + 15y = -26 + 24y Solving -71 + 15y = -26 + 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. -71 + 15y + -24y = -26 + 24y + -24y Combine like terms: 15y + -24y = -9y -71 + -9y = -26 + 24y + -24y Combine like terms: 24y + -24y = 0 -71 + -9y = -26 + 0 -71 + -9y = -26 Add '71' to each side of the equation. -71 + 71 + -9y = -26 + 71 Combine like terms: -71 + 71 = 0 0 + -9y = -26 + 71 -9y = -26 + 71 Combine like terms: -26 + 71 = 45 -9y = 45 Divide each side by '-9'. y = -5 Simplifying y = -5
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