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Simplifying 10 + -1(4y + -7) = 9 + -5y Reorder the terms: 10 + -1(-7 + 4y) = 9 + -5y 10 + (-7 * -1 + 4y * -1) = 9 + -5y 10 + (7 + -4y) = 9 + -5y Combine like terms: 10 + 7 = 17 17 + -4y = 9 + -5y Solving 17 + -4y = 9 + -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. 17 + -4y + 5y = 9 + -5y + 5y Combine like terms: -4y + 5y = 1y 17 + 1y = 9 + -5y + 5y Combine like terms: -5y + 5y = 0 17 + 1y = 9 + 0 17 + 1y = 9 Add '-17' to each side of the equation. 17 + -17 + 1y = 9 + -17 Combine like terms: 17 + -17 = 0 0 + 1y = 9 + -17 1y = 9 + -17 Combine like terms: 9 + -17 = -8 1y = -8 Divide each side by '1'. y = -8 Simplifying y = -8
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