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Simplifying 2(3y + -2) = 3(y + 4) Reorder the terms: 2(-2 + 3y) = 3(y + 4) (-2 * 2 + 3y * 2) = 3(y + 4) (-4 + 6y) = 3(y + 4) Reorder the terms: -4 + 6y = 3(4 + y) -4 + 6y = (4 * 3 + y * 3) -4 + 6y = (12 + 3y) Solving -4 + 6y = 12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -4 + 6y + -3y = 12 + 3y + -3y Combine like terms: 6y + -3y = 3y -4 + 3y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 -4 + 3y = 12 + 0 -4 + 3y = 12 Add '4' to each side of the equation. -4 + 4 + 3y = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 3y = 12 + 4 3y = 12 + 4 Combine like terms: 12 + 4 = 16 3y = 16 Divide each side by '3'. y = 5.333333333 Simplifying y = 5.333333333
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