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Simplifying 18(5y + 64) = 14(20 + 2y) Reorder the terms: 18(64 + 5y) = 14(20 + 2y) (64 * 18 + 5y * 18) = 14(20 + 2y) (1152 + 90y) = 14(20 + 2y) 1152 + 90y = (20 * 14 + 2y * 14) 1152 + 90y = (280 + 28y) Solving 1152 + 90y = 280 + 28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28y' to each side of the equation. 1152 + 90y + -28y = 280 + 28y + -28y Combine like terms: 90y + -28y = 62y 1152 + 62y = 280 + 28y + -28y Combine like terms: 28y + -28y = 0 1152 + 62y = 280 + 0 1152 + 62y = 280 Add '-1152' to each side of the equation. 1152 + -1152 + 62y = 280 + -1152 Combine like terms: 1152 + -1152 = 0 0 + 62y = 280 + -1152 62y = 280 + -1152 Combine like terms: 280 + -1152 = -872 62y = -872 Divide each side by '62'. y = -14.06451613 Simplifying y = -14.06451613
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