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Simplifying 12(3 + y) = 52y + 8 (3 * 12 + y * 12) = 52y + 8 (36 + 12y) = 52y + 8 Reorder the terms: 36 + 12y = 8 + 52y Solving 36 + 12y = 8 + 52y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-52y' to each side of the equation. 36 + 12y + -52y = 8 + 52y + -52y Combine like terms: 12y + -52y = -40y 36 + -40y = 8 + 52y + -52y Combine like terms: 52y + -52y = 0 36 + -40y = 8 + 0 36 + -40y = 8 Add '-36' to each side of the equation. 36 + -36 + -40y = 8 + -36 Combine like terms: 36 + -36 = 0 0 + -40y = 8 + -36 -40y = 8 + -36 Combine like terms: 8 + -36 = -28 -40y = -28 Divide each side by '-40'. y = 0.7 Simplifying y = 0.7
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