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Simplifying 9(3y + -8) + -1(9y + 7) = 0 Reorder the terms: 9(-8 + 3y) + -1(9y + 7) = 0 (-8 * 9 + 3y * 9) + -1(9y + 7) = 0 (-72 + 27y) + -1(9y + 7) = 0 Reorder the terms: -72 + 27y + -1(7 + 9y) = 0 -72 + 27y + (7 * -1 + 9y * -1) = 0 -72 + 27y + (-7 + -9y) = 0 Reorder the terms: -72 + -7 + 27y + -9y = 0 Combine like terms: -72 + -7 = -79 -79 + 27y + -9y = 0 Combine like terms: 27y + -9y = 18y -79 + 18y = 0 Solving -79 + 18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '79' to each side of the equation. -79 + 79 + 18y = 0 + 79 Combine like terms: -79 + 79 = 0 0 + 18y = 0 + 79 18y = 0 + 79 Combine like terms: 0 + 79 = 79 18y = 79 Divide each side by '18'. y = 4.388888889 Simplifying y = 4.388888889
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