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