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Simplifying -3(y + 3) = 6y + 36 Reorder the terms: -3(3 + y) = 6y + 36 (3 * -3 + y * -3) = 6y + 36 (-9 + -3y) = 6y + 36 Reorder the terms: -9 + -3y = 36 + 6y Solving -9 + -3y = 36 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -9 + -3y + -6y = 36 + 6y + -6y Combine like terms: -3y + -6y = -9y -9 + -9y = 36 + 6y + -6y Combine like terms: 6y + -6y = 0 -9 + -9y = 36 + 0 -9 + -9y = 36 Add '9' to each side of the equation. -9 + 9 + -9y = 36 + 9 Combine like terms: -9 + 9 = 0 0 + -9y = 36 + 9 -9y = 36 + 9 Combine like terms: 36 + 9 = 45 -9y = 45 Divide each side by '-9'. y = -5 Simplifying y = -5
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