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Simplifying 4(y + 6) = 2(y + 7) Reorder the terms: 4(6 + y) = 2(y + 7) (6 * 4 + y * 4) = 2(y + 7) (24 + 4y) = 2(y + 7) Reorder the terms: 24 + 4y = 2(7 + y) 24 + 4y = (7 * 2 + y * 2) 24 + 4y = (14 + 2y) Solving 24 + 4y = 14 + 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. 24 + 4y + -2y = 14 + 2y + -2y Combine like terms: 4y + -2y = 2y 24 + 2y = 14 + 2y + -2y Combine like terms: 2y + -2y = 0 24 + 2y = 14 + 0 24 + 2y = 14 Add '-24' to each side of the equation. 24 + -24 + 2y = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 2y = 14 + -24 2y = 14 + -24 Combine like terms: 14 + -24 = -10 2y = -10 Divide each side by '2'. y = -5 Simplifying y = -5
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