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Simplifying 6(y + 2) = -3(4y + -3) + 3y Reorder the terms: 6(2 + y) = -3(4y + -3) + 3y (2 * 6 + y * 6) = -3(4y + -3) + 3y (12 + 6y) = -3(4y + -3) + 3y Reorder the terms: 12 + 6y = -3(-3 + 4y) + 3y 12 + 6y = (-3 * -3 + 4y * -3) + 3y 12 + 6y = (9 + -12y) + 3y Combine like terms: -12y + 3y = -9y 12 + 6y = 9 + -9y Solving 12 + 6y = 9 + -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. 12 + 6y + 9y = 9 + -9y + 9y Combine like terms: 6y + 9y = 15y 12 + 15y = 9 + -9y + 9y Combine like terms: -9y + 9y = 0 12 + 15y = 9 + 0 12 + 15y = 9 Add '-12' to each side of the equation. 12 + -12 + 15y = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 15y = 9 + -12 15y = 9 + -12 Combine like terms: 9 + -12 = -3 15y = -3 Divide each side by '15'. y = -0.2 Simplifying y = -0.2
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