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Simplifying 10(2 + 4y + 2) + -2(6y + 7) = 0 Reorder the terms: 10(2 + 2 + 4y) + -2(6y + 7) = 0 Combine like terms: 2 + 2 = 4 10(4 + 4y) + -2(6y + 7) = 0 (4 * 10 + 4y * 10) + -2(6y + 7) = 0 (40 + 40y) + -2(6y + 7) = 0 Reorder the terms: 40 + 40y + -2(7 + 6y) = 0 40 + 40y + (7 * -2 + 6y * -2) = 0 40 + 40y + (-14 + -12y) = 0 Reorder the terms: 40 + -14 + 40y + -12y = 0 Combine like terms: 40 + -14 = 26 26 + 40y + -12y = 0 Combine like terms: 40y + -12y = 28y 26 + 28y = 0 Solving 26 + 28y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 28y = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 28y = 0 + -26 28y = 0 + -26 Combine like terms: 0 + -26 = -26 28y = -26 Divide each side by '28'. y = -0.9285714286 Simplifying y = -0.9285714286
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