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Simplifying -6(y + 1) = 3y + 21 Reorder the terms: -6(1 + y) = 3y + 21 (1 * -6 + y * -6) = 3y + 21 (-6 + -6y) = 3y + 21 Reorder the terms: -6 + -6y = 21 + 3y Solving -6 + -6y = 21 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -6 + -6y + -3y = 21 + 3y + -3y Combine like terms: -6y + -3y = -9y -6 + -9y = 21 + 3y + -3y Combine like terms: 3y + -3y = 0 -6 + -9y = 21 + 0 -6 + -9y = 21 Add '6' to each side of the equation. -6 + 6 + -9y = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -9y = 21 + 6 -9y = 21 + 6 Combine like terms: 21 + 6 = 27 -9y = 27 Divide each side by '-9'. y = -3 Simplifying y = -3
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