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Simplifying 3(3y + -11) = -6(y + 4) Reorder the terms: 3(-11 + 3y) = -6(y + 4) (-11 * 3 + 3y * 3) = -6(y + 4) (-33 + 9y) = -6(y + 4) Reorder the terms: -33 + 9y = -6(4 + y) -33 + 9y = (4 * -6 + y * -6) -33 + 9y = (-24 + -6y) Solving -33 + 9y = -24 + -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. -33 + 9y + 6y = -24 + -6y + 6y Combine like terms: 9y + 6y = 15y -33 + 15y = -24 + -6y + 6y Combine like terms: -6y + 6y = 0 -33 + 15y = -24 + 0 -33 + 15y = -24 Add '33' to each side of the equation. -33 + 33 + 15y = -24 + 33 Combine like terms: -33 + 33 = 0 0 + 15y = -24 + 33 15y = -24 + 33 Combine like terms: -24 + 33 = 9 15y = 9 Divide each side by '15'. y = 0.6 Simplifying y = 0.6
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