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Simplifying -5y + 9 = -1(y + -1) Reorder the terms: 9 + -5y = -1(y + -1) Reorder the terms: 9 + -5y = -1(-1 + y) 9 + -5y = (-1 * -1 + y * -1) 9 + -5y = (1 + -1y) Solving 9 + -5y = 1 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 9 + -5y + y = 1 + -1y + y Combine like terms: -5y + y = -4y 9 + -4y = 1 + -1y + y Combine like terms: -1y + y = 0 9 + -4y = 1 + 0 9 + -4y = 1 Add '-9' to each side of the equation. 9 + -9 + -4y = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = 1 + -9 -4y = 1 + -9 Combine like terms: 1 + -9 = -8 -4y = -8 Divide each side by '-4'. y = 2 Simplifying y = 2
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