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Simplifying -3y + 21 = -8(y + 3) Reorder the terms: 21 + -3y = -8(y + 3) Reorder the terms: 21 + -3y = -8(3 + y) 21 + -3y = (3 * -8 + y * -8) 21 + -3y = (-24 + -8y) Solving 21 + -3y = -24 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 21 + -3y + 8y = -24 + -8y + 8y Combine like terms: -3y + 8y = 5y 21 + 5y = -24 + -8y + 8y Combine like terms: -8y + 8y = 0 21 + 5y = -24 + 0 21 + 5y = -24 Add '-21' to each side of the equation. 21 + -21 + 5y = -24 + -21 Combine like terms: 21 + -21 = 0 0 + 5y = -24 + -21 5y = -24 + -21 Combine like terms: -24 + -21 = -45 5y = -45 Divide each side by '5'. y = -9 Simplifying y = -9
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