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Simplifying (3y + 5) * 4 + 16 = (4y + 4) * 2 + 72 Reorder the terms: (5 + 3y) * 4 + 16 = (4y + 4) * 2 + 72 Reorder the terms for easier multiplication: 4(5 + 3y) + 16 = (4y + 4) * 2 + 72 (5 * 4 + 3y * 4) + 16 = (4y + 4) * 2 + 72 (20 + 12y) + 16 = (4y + 4) * 2 + 72 Reorder the terms: 20 + 16 + 12y = (4y + 4) * 2 + 72 Combine like terms: 20 + 16 = 36 36 + 12y = (4y + 4) * 2 + 72 Reorder the terms: 36 + 12y = (4 + 4y) * 2 + 72 Reorder the terms for easier multiplication: 36 + 12y = 2(4 + 4y) + 72 36 + 12y = (4 * 2 + 4y * 2) + 72 36 + 12y = (8 + 8y) + 72 Reorder the terms: 36 + 12y = 8 + 72 + 8y Combine like terms: 8 + 72 = 80 36 + 12y = 80 + 8y Solving 36 + 12y = 80 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 36 + 12y + -8y = 80 + 8y + -8y Combine like terms: 12y + -8y = 4y 36 + 4y = 80 + 8y + -8y Combine like terms: 8y + -8y = 0 36 + 4y = 80 + 0 36 + 4y = 80 Add '-36' to each side of the equation. 36 + -36 + 4y = 80 + -36 Combine like terms: 36 + -36 = 0 0 + 4y = 80 + -36 4y = 80 + -36 Combine like terms: 80 + -36 = 44 4y = 44 Divide each side by '4'. y = 11 Simplifying y = 11
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