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Simplifying 24(5y + -50) + 18(2y + 8) = 2592 + 48y + -1920 Reorder the terms: 24(-50 + 5y) + 18(2y + 8) = 2592 + 48y + -1920 (-50 * 24 + 5y * 24) + 18(2y + 8) = 2592 + 48y + -1920 (-1200 + 120y) + 18(2y + 8) = 2592 + 48y + -1920 Reorder the terms: -1200 + 120y + 18(8 + 2y) = 2592 + 48y + -1920 -1200 + 120y + (8 * 18 + 2y * 18) = 2592 + 48y + -1920 -1200 + 120y + (144 + 36y) = 2592 + 48y + -1920 Reorder the terms: -1200 + 144 + 120y + 36y = 2592 + 48y + -1920 Combine like terms: -1200 + 144 = -1056 -1056 + 120y + 36y = 2592 + 48y + -1920 Combine like terms: 120y + 36y = 156y -1056 + 156y = 2592 + 48y + -1920 Reorder the terms: -1056 + 156y = 2592 + -1920 + 48y Combine like terms: 2592 + -1920 = 672 -1056 + 156y = 672 + 48y Solving -1056 + 156y = 672 + 48y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48y' to each side of the equation. -1056 + 156y + -48y = 672 + 48y + -48y Combine like terms: 156y + -48y = 108y -1056 + 108y = 672 + 48y + -48y Combine like terms: 48y + -48y = 0 -1056 + 108y = 672 + 0 -1056 + 108y = 672 Add '1056' to each side of the equation. -1056 + 1056 + 108y = 672 + 1056 Combine like terms: -1056 + 1056 = 0 0 + 108y = 672 + 1056 108y = 672 + 1056 Combine like terms: 672 + 1056 = 1728 108y = 1728 Divide each side by '108'. y = 16 Simplifying y = 16
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