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Simplifying -3(y + 3) = 2y + 21 Reorder the terms: -3(3 + y) = 2y + 21 (3 * -3 + y * -3) = 2y + 21 (-9 + -3y) = 2y + 21 Reorder the terms: -9 + -3y = 21 + 2y Solving -9 + -3y = 21 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -9 + -3y + -2y = 21 + 2y + -2y Combine like terms: -3y + -2y = -5y -9 + -5y = 21 + 2y + -2y Combine like terms: 2y + -2y = 0 -9 + -5y = 21 + 0 -9 + -5y = 21 Add '9' to each side of the equation. -9 + 9 + -5y = 21 + 9 Combine like terms: -9 + 9 = 0 0 + -5y = 21 + 9 -5y = 21 + 9 Combine like terms: 21 + 9 = 30 -5y = 30 Divide each side by '-5'. y = -6 Simplifying y = -6
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