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