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Simplifying 6y + 28 = 4(y + 8) Reorder the terms: 28 + 6y = 4(y + 8) Reorder the terms: 28 + 6y = 4(8 + y) 28 + 6y = (8 * 4 + y * 4) 28 + 6y = (32 + 4y) Solving 28 + 6y = 32 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 28 + 6y + -4y = 32 + 4y + -4y Combine like terms: 6y + -4y = 2y 28 + 2y = 32 + 4y + -4y Combine like terms: 4y + -4y = 0 28 + 2y = 32 + 0 28 + 2y = 32 Add '-28' to each side of the equation. 28 + -28 + 2y = 32 + -28 Combine like terms: 28 + -28 = 0 0 + 2y = 32 + -28 2y = 32 + -28 Combine like terms: 32 + -28 = 4 2y = 4 Divide each side by '2'. y = 2 Simplifying y = 2
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