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Simplifying -3(3y + 1) + -11 = -6(y + 4) + 3y Reorder the terms: -3(1 + 3y) + -11 = -6(y + 4) + 3y (1 * -3 + 3y * -3) + -11 = -6(y + 4) + 3y (-3 + -9y) + -11 = -6(y + 4) + 3y Reorder the terms: -3 + -11 + -9y = -6(y + 4) + 3y Combine like terms: -3 + -11 = -14 -14 + -9y = -6(y + 4) + 3y Reorder the terms: -14 + -9y = -6(4 + y) + 3y -14 + -9y = (4 * -6 + y * -6) + 3y -14 + -9y = (-24 + -6y) + 3y Combine like terms: -6y + 3y = -3y -14 + -9y = -24 + -3y Solving -14 + -9y = -24 + -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. -14 + -9y + 3y = -24 + -3y + 3y Combine like terms: -9y + 3y = -6y -14 + -6y = -24 + -3y + 3y Combine like terms: -3y + 3y = 0 -14 + -6y = -24 + 0 -14 + -6y = -24 Add '14' to each side of the equation. -14 + 14 + -6y = -24 + 14 Combine like terms: -14 + 14 = 0 0 + -6y = -24 + 14 -6y = -24 + 14 Combine like terms: -24 + 14 = -10 -6y = -10 Divide each side by '-6'. y = 1.666666667 Simplifying y = 1.666666667
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