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Simplifying 8(y + 8) + y = 3(y + 4) + 4 Reorder the terms: 8(8 + y) + y = 3(y + 4) + 4 (8 * 8 + y * 8) + y = 3(y + 4) + 4 (64 + 8y) + y = 3(y + 4) + 4 Combine like terms: 8y + y = 9y 64 + 9y = 3(y + 4) + 4 Reorder the terms: 64 + 9y = 3(4 + y) + 4 64 + 9y = (4 * 3 + y * 3) + 4 64 + 9y = (12 + 3y) + 4 Reorder the terms: 64 + 9y = 12 + 4 + 3y Combine like terms: 12 + 4 = 16 64 + 9y = 16 + 3y Solving 64 + 9y = 16 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 64 + 9y + -3y = 16 + 3y + -3y Combine like terms: 9y + -3y = 6y 64 + 6y = 16 + 3y + -3y Combine like terms: 3y + -3y = 0 64 + 6y = 16 + 0 64 + 6y = 16 Add '-64' to each side of the equation. 64 + -64 + 6y = 16 + -64 Combine like terms: 64 + -64 = 0 0 + 6y = 16 + -64 6y = 16 + -64 Combine like terms: 16 + -64 = -48 6y = -48 Divide each side by '6'. y = -8 Simplifying y = -8
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