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Simplifying 4(4y + 2) = 2(1 + 6y) + 84 Reorder the terms: 4(2 + 4y) = 2(1 + 6y) + 84 (2 * 4 + 4y * 4) = 2(1 + 6y) + 84 (8 + 16y) = 2(1 + 6y) + 84 8 + 16y = (1 * 2 + 6y * 2) + 84 8 + 16y = (2 + 12y) + 84 Reorder the terms: 8 + 16y = 2 + 84 + 12y Combine like terms: 2 + 84 = 86 8 + 16y = 86 + 12y Solving 8 + 16y = 86 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 8 + 16y + -12y = 86 + 12y + -12y Combine like terms: 16y + -12y = 4y 8 + 4y = 86 + 12y + -12y Combine like terms: 12y + -12y = 0 8 + 4y = 86 + 0 8 + 4y = 86 Add '-8' to each side of the equation. 8 + -8 + 4y = 86 + -8 Combine like terms: 8 + -8 = 0 0 + 4y = 86 + -8 4y = 86 + -8 Combine like terms: 86 + -8 = 78 4y = 78 Divide each side by '4'. y = 19.5 Simplifying y = 19.5
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