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Simplifying 2(7y + -5) + -1(6y + 9) = 0 Reorder the terms: 2(-5 + 7y) + -1(6y + 9) = 0 (-5 * 2 + 7y * 2) + -1(6y + 9) = 0 (-10 + 14y) + -1(6y + 9) = 0 Reorder the terms: -10 + 14y + -1(9 + 6y) = 0 -10 + 14y + (9 * -1 + 6y * -1) = 0 -10 + 14y + (-9 + -6y) = 0 Reorder the terms: -10 + -9 + 14y + -6y = 0 Combine like terms: -10 + -9 = -19 -19 + 14y + -6y = 0 Combine like terms: 14y + -6y = 8y -19 + 8y = 0 Solving -19 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 8y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 8y = 0 + 19 8y = 0 + 19 Combine like terms: 0 + 19 = 19 8y = 19 Divide each side by '8'. y = 2.375 Simplifying y = 2.375
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