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Simplifying -7(y + 5) = -9y + -21 Reorder the terms: -7(5 + y) = -9y + -21 (5 * -7 + y * -7) = -9y + -21 (-35 + -7y) = -9y + -21 Reorder the terms: -35 + -7y = -21 + -9y Solving -35 + -7y = -21 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -35 + -7y + 9y = -21 + -9y + 9y Combine like terms: -7y + 9y = 2y -35 + 2y = -21 + -9y + 9y Combine like terms: -9y + 9y = 0 -35 + 2y = -21 + 0 -35 + 2y = -21 Add '35' to each side of the equation. -35 + 35 + 2y = -21 + 35 Combine like terms: -35 + 35 = 0 0 + 2y = -21 + 35 2y = -21 + 35 Combine like terms: -21 + 35 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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