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Simplifying 2(7y + -1) + 3(6y + 9) = 0 Reorder the terms: 2(-1 + 7y) + 3(6y + 9) = 0 (-1 * 2 + 7y * 2) + 3(6y + 9) = 0 (-2 + 14y) + 3(6y + 9) = 0 Reorder the terms: -2 + 14y + 3(9 + 6y) = 0 -2 + 14y + (9 * 3 + 6y * 3) = 0 -2 + 14y + (27 + 18y) = 0 Reorder the terms: -2 + 27 + 14y + 18y = 0 Combine like terms: -2 + 27 = 25 25 + 14y + 18y = 0 Combine like terms: 14y + 18y = 32y 25 + 32y = 0 Solving 25 + 32y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 32y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 32y = 0 + -25 32y = 0 + -25 Combine like terms: 0 + -25 = -25 32y = -25 Divide each side by '32'. y = -0.78125 Simplifying y = -0.78125
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