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Simplifying 7(2y + 3) + -2(4y + 7) = 67 Reorder the terms: 7(3 + 2y) + -2(4y + 7) = 67 (3 * 7 + 2y * 7) + -2(4y + 7) = 67 (21 + 14y) + -2(4y + 7) = 67 Reorder the terms: 21 + 14y + -2(7 + 4y) = 67 21 + 14y + (7 * -2 + 4y * -2) = 67 21 + 14y + (-14 + -8y) = 67 Reorder the terms: 21 + -14 + 14y + -8y = 67 Combine like terms: 21 + -14 = 7 7 + 14y + -8y = 67 Combine like terms: 14y + -8y = 6y 7 + 6y = 67 Solving 7 + 6y = 67 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 6y = 67 + -7 Combine like terms: 7 + -7 = 0 0 + 6y = 67 + -7 6y = 67 + -7 Combine like terms: 67 + -7 = 60 6y = 60 Divide each side by '6'. y = 10 Simplifying y = 10
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