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Simplifying 8(y + 3) = 2(2y + 4) Reorder the terms: 8(3 + y) = 2(2y + 4) (3 * 8 + y * 8) = 2(2y + 4) (24 + 8y) = 2(2y + 4) Reorder the terms: 24 + 8y = 2(4 + 2y) 24 + 8y = (4 * 2 + 2y * 2) 24 + 8y = (8 + 4y) Solving 24 + 8y = 8 + 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. 24 + 8y + -4y = 8 + 4y + -4y Combine like terms: 8y + -4y = 4y 24 + 4y = 8 + 4y + -4y Combine like terms: 4y + -4y = 0 24 + 4y = 8 + 0 24 + 4y = 8 Add '-24' to each side of the equation. 24 + -24 + 4y = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 4y = 8 + -24 4y = 8 + -24 Combine like terms: 8 + -24 = -16 4y = -16 Divide each side by '4'. y = -4 Simplifying y = -4
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