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Simplifying -3y + -21 = -9(y + 1) Reorder the terms: -21 + -3y = -9(y + 1) Reorder the terms: -21 + -3y = -9(1 + y) -21 + -3y = (1 * -9 + y * -9) -21 + -3y = (-9 + -9y) Solving -21 + -3y = -9 + -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. -21 + -3y + 9y = -9 + -9y + 9y Combine like terms: -3y + 9y = 6y -21 + 6y = -9 + -9y + 9y Combine like terms: -9y + 9y = 0 -21 + 6y = -9 + 0 -21 + 6y = -9 Add '21' to each side of the equation. -21 + 21 + 6y = -9 + 21 Combine like terms: -21 + 21 = 0 0 + 6y = -9 + 21 6y = -9 + 21 Combine like terms: -9 + 21 = 12 6y = 12 Divide each side by '6'. y = 2 Simplifying y = 2
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