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Simplifying 3y + -21 = -9(y + 5) Reorder the terms: -21 + 3y = -9(y + 5) Reorder the terms: -21 + 3y = -9(5 + y) -21 + 3y = (5 * -9 + y * -9) -21 + 3y = (-45 + -9y) Solving -21 + 3y = -45 + -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 = -45 + -9y + 9y Combine like terms: 3y + 9y = 12y -21 + 12y = -45 + -9y + 9y Combine like terms: -9y + 9y = 0 -21 + 12y = -45 + 0 -21 + 12y = -45 Add '21' to each side of the equation. -21 + 21 + 12y = -45 + 21 Combine like terms: -21 + 21 = 0 0 + 12y = -45 + 21 12y = -45 + 21 Combine like terms: -45 + 21 = -24 12y = -24 Divide each side by '12'. y = -2 Simplifying y = -2
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