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Simplifying 6(y + 4) = -3(4y + -9) + 3y Reorder the terms: 6(4 + y) = -3(4y + -9) + 3y (4 * 6 + y * 6) = -3(4y + -9) + 3y (24 + 6y) = -3(4y + -9) + 3y Reorder the terms: 24 + 6y = -3(-9 + 4y) + 3y 24 + 6y = (-9 * -3 + 4y * -3) + 3y 24 + 6y = (27 + -12y) + 3y Combine like terms: -12y + 3y = -9y 24 + 6y = 27 + -9y Solving 24 + 6y = 27 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 24 + 6y + 9y = 27 + -9y + 9y Combine like terms: 6y + 9y = 15y 24 + 15y = 27 + -9y + 9y Combine like terms: -9y + 9y = 0 24 + 15y = 27 + 0 24 + 15y = 27 Add '-24' to each side of the equation. 24 + -24 + 15y = 27 + -24 Combine like terms: 24 + -24 = 0 0 + 15y = 27 + -24 15y = 27 + -24 Combine like terms: 27 + -24 = 3 15y = 3 Divide each side by '15'. y = 0.2 Simplifying y = 0.2
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