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Simplifying 12(y + 5) = 32y Reorder the terms: 12(5 + y) = 32y (5 * 12 + y * 12) = 32y (60 + 12y) = 32y Solving 60 + 12y = 32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32y' to each side of the equation. 60 + 12y + -32y = 32y + -32y Combine like terms: 12y + -32y = -20y 60 + -20y = 32y + -32y Combine like terms: 32y + -32y = 0 60 + -20y = 0 Add '-60' to each side of the equation. 60 + -60 + -20y = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -20y = 0 + -60 -20y = 0 + -60 Combine like terms: 0 + -60 = -60 -20y = -60 Divide each side by '-20'. y = 3 Simplifying y = 3
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