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Simplifying 3(3y + -1) = -6(y + 4) Reorder the terms: 3(-1 + 3y) = -6(y + 4) (-1 * 3 + 3y * 3) = -6(y + 4) (-3 + 9y) = -6(y + 4) Reorder the terms: -3 + 9y = -6(4 + y) -3 + 9y = (4 * -6 + y * -6) -3 + 9y = (-24 + -6y) Solving -3 + 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. -3 + 9y + 6y = -24 + -6y + 6y Combine like terms: 9y + 6y = 15y -3 + 15y = -24 + -6y + 6y Combine like terms: -6y + 6y = 0 -3 + 15y = -24 + 0 -3 + 15y = -24 Add '3' to each side of the equation. -3 + 3 + 15y = -24 + 3 Combine like terms: -3 + 3 = 0 0 + 15y = -24 + 3 15y = -24 + 3 Combine like terms: -24 + 3 = -21 15y = -21 Divide each side by '15'. y = -1.4 Simplifying y = -1.4
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