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Simplifying 9 + -5y = 12 + -1(6y + 7) Reorder the terms: 9 + -5y = 12 + -1(7 + 6y) 9 + -5y = 12 + (7 * -1 + 6y * -1) 9 + -5y = 12 + (-7 + -6y) Combine like terms: 12 + -7 = 5 9 + -5y = 5 + -6y Solving 9 + -5y = 5 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 9 + -5y + 6y = 5 + -6y + 6y Combine like terms: -5y + 6y = 1y 9 + 1y = 5 + -6y + 6y Combine like terms: -6y + 6y = 0 9 + 1y = 5 + 0 9 + 1y = 5 Add '-9' to each side of the equation. 9 + -9 + 1y = 5 + -9 Combine like terms: 9 + -9 = 0 0 + 1y = 5 + -9 1y = 5 + -9 Combine like terms: 5 + -9 = -4 1y = -4 Divide each side by '1'. y = -4 Simplifying y = -4
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