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Simplifying 9 = (7y + -5) + -1(6y + 3) Reorder the terms: 9 = (-5 + 7y) + -1(6y + 3) Remove parenthesis around (-5 + 7y) 9 = -5 + 7y + -1(6y + 3) Reorder the terms: 9 = -5 + 7y + -1(3 + 6y) 9 = -5 + 7y + (3 * -1 + 6y * -1) 9 = -5 + 7y + (-3 + -6y) Reorder the terms: 9 = -5 + -3 + 7y + -6y Combine like terms: -5 + -3 = -8 9 = -8 + 7y + -6y Combine like terms: 7y + -6y = 1y 9 = -8 + 1y Solving 9 = -8 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 9 + -1y = -8 + 1y + -1y Combine like terms: 1y + -1y = 0 9 + -1y = -8 + 0 9 + -1y = -8 Add '-9' to each side of the equation. 9 + -9 + -1y = -8 + -9 Combine like terms: 9 + -9 = 0 0 + -1y = -8 + -9 -1y = -8 + -9 Combine like terms: -8 + -9 = -17 -1y = -17 Divide each side by '-1'. y = 17 Simplifying y = 17
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