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Simplifying 7(2y + -8) + -1(y + 9) = 0 Reorder the terms: 7(-8 + 2y) + -1(y + 9) = 0 (-8 * 7 + 2y * 7) + -1(y + 9) = 0 (-56 + 14y) + -1(y + 9) = 0 Reorder the terms: -56 + 14y + -1(9 + y) = 0 -56 + 14y + (9 * -1 + y * -1) = 0 -56 + 14y + (-9 + -1y) = 0 Reorder the terms: -56 + -9 + 14y + -1y = 0 Combine like terms: -56 + -9 = -65 -65 + 14y + -1y = 0 Combine like terms: 14y + -1y = 13y -65 + 13y = 0 Solving -65 + 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 13y = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 13y = 0 + 65 13y = 0 + 65 Combine like terms: 0 + 65 = 65 13y = 65 Divide each side by '13'. y = 5 Simplifying y = 5
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