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Simplifying 9 + -1(4y + -7) = 6 + -5y Reorder the terms: 9 + -1(-7 + 4y) = 6 + -5y 9 + (-7 * -1 + 4y * -1) = 6 + -5y 9 + (7 + -4y) = 6 + -5y Combine like terms: 9 + 7 = 16 16 + -4y = 6 + -5y Solving 16 + -4y = 6 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 16 + -4y + 5y = 6 + -5y + 5y Combine like terms: -4y + 5y = 1y 16 + 1y = 6 + -5y + 5y Combine like terms: -5y + 5y = 0 16 + 1y = 6 + 0 16 + 1y = 6 Add '-16' to each side of the equation. 16 + -16 + 1y = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 1y = 6 + -16 1y = 6 + -16 Combine like terms: 6 + -16 = -10 1y = -10 Divide each side by '1'. y = -10 Simplifying y = -10
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