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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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