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Simplifying 3(3y + 4) = 2(3y + -6) Reorder the terms: 3(4 + 3y) = 2(3y + -6) (4 * 3 + 3y * 3) = 2(3y + -6) (12 + 9y) = 2(3y + -6) Reorder the terms: 12 + 9y = 2(-6 + 3y) 12 + 9y = (-6 * 2 + 3y * 2) 12 + 9y = (-12 + 6y) Solving 12 + 9y = -12 + 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. 12 + 9y + -6y = -12 + 6y + -6y Combine like terms: 9y + -6y = 3y 12 + 3y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + 3y = -12 + 0 12 + 3y = -12 Add '-12' to each side of the equation. 12 + -12 + 3y = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 3y = -12 + -12 3y = -12 + -12 Combine like terms: -12 + -12 = -24 3y = -24 Divide each side by '3'. y = -8 Simplifying y = -8
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