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Simplifying -1(6y + 9) = 3(y + 4) Reorder the terms: -1(9 + 6y) = 3(y + 4) (9 * -1 + 6y * -1) = 3(y + 4) (-9 + -6y) = 3(y + 4) Reorder the terms: -9 + -6y = 3(4 + y) -9 + -6y = (4 * 3 + y * 3) -9 + -6y = (12 + 3y) Solving -9 + -6y = 12 + 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. -9 + -6y + -3y = 12 + 3y + -3y Combine like terms: -6y + -3y = -9y -9 + -9y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 -9 + -9y = 12 + 0 -9 + -9y = 12 Add '9' to each side of the equation. -9 + 9 + -9y = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -9y = 12 + 9 -9y = 12 + 9 Combine like terms: 12 + 9 = 21 -9y = 21 Divide each side by '-9'. y = -2.333333333 Simplifying y = -2.333333333
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