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Simplifying 5y + 21 = -7(y + 9) Reorder the terms: 21 + 5y = -7(y + 9) Reorder the terms: 21 + 5y = -7(9 + y) 21 + 5y = (9 * -7 + y * -7) 21 + 5y = (-63 + -7y) Solving 21 + 5y = -63 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 21 + 5y + 7y = -63 + -7y + 7y Combine like terms: 5y + 7y = 12y 21 + 12y = -63 + -7y + 7y Combine like terms: -7y + 7y = 0 21 + 12y = -63 + 0 21 + 12y = -63 Add '-21' to each side of the equation. 21 + -21 + 12y = -63 + -21 Combine like terms: 21 + -21 = 0 0 + 12y = -63 + -21 12y = -63 + -21 Combine like terms: -63 + -21 = -84 12y = -84 Divide each side by '12'. y = -7 Simplifying y = -7
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