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Simplifying 6(y + 5) = 4(y + 7) Reorder the terms: 6(5 + y) = 4(y + 7) (5 * 6 + y * 6) = 4(y + 7) (30 + 6y) = 4(y + 7) Reorder the terms: 30 + 6y = 4(7 + y) 30 + 6y = (7 * 4 + y * 4) 30 + 6y = (28 + 4y) Solving 30 + 6y = 28 + 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. 30 + 6y + -4y = 28 + 4y + -4y Combine like terms: 6y + -4y = 2y 30 + 2y = 28 + 4y + -4y Combine like terms: 4y + -4y = 0 30 + 2y = 28 + 0 30 + 2y = 28 Add '-30' to each side of the equation. 30 + -30 + 2y = 28 + -30 Combine like terms: 30 + -30 = 0 0 + 2y = 28 + -30 2y = 28 + -30 Combine like terms: 28 + -30 = -2 2y = -2 Divide each side by '2'. y = -1 Simplifying y = -1
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