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Simplifying 0 = 3(4y + 2) + 7(2y + 5) Reorder the terms: 0 = 3(2 + 4y) + 7(2y + 5) 0 = (2 * 3 + 4y * 3) + 7(2y + 5) 0 = (6 + 12y) + 7(2y + 5) Reorder the terms: 0 = 6 + 12y + 7(5 + 2y) 0 = 6 + 12y + (5 * 7 + 2y * 7) 0 = 6 + 12y + (35 + 14y) Reorder the terms: 0 = 6 + 35 + 12y + 14y Combine like terms: 6 + 35 = 41 0 = 41 + 12y + 14y Combine like terms: 12y + 14y = 26y 0 = 41 + 26y Solving 0 = 41 + 26y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26y' to each side of the equation. 0 + -26y = 41 + 26y + -26y Remove the zero: -26y = 41 + 26y + -26y Combine like terms: 26y + -26y = 0 -26y = 41 + 0 -26y = 41 Divide each side by '-26'. y = -1.576923077 Simplifying y = -1.576923077
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