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Simplifying 7(2y + -9) + -1(6y + 7) = 0 Reorder the terms: 7(-9 + 2y) + -1(6y + 7) = 0 (-9 * 7 + 2y * 7) + -1(6y + 7) = 0 (-63 + 14y) + -1(6y + 7) = 0 Reorder the terms: -63 + 14y + -1(7 + 6y) = 0 -63 + 14y + (7 * -1 + 6y * -1) = 0 -63 + 14y + (-7 + -6y) = 0 Reorder the terms: -63 + -7 + 14y + -6y = 0 Combine like terms: -63 + -7 = -70 -70 + 14y + -6y = 0 Combine like terms: 14y + -6y = 8y -70 + 8y = 0 Solving -70 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + 8y = 0 + 70 Combine like terms: -70 + 70 = 0 0 + 8y = 0 + 70 8y = 0 + 70 Combine like terms: 0 + 70 = 70 8y = 70 Divide each side by '8'. y = 8.75 Simplifying y = 8.75
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