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Simplifying 2(4y + -3) = 3(2y + 4) Reorder the terms: 2(-3 + 4y) = 3(2y + 4) (-3 * 2 + 4y * 2) = 3(2y + 4) (-6 + 8y) = 3(2y + 4) Reorder the terms: -6 + 8y = 3(4 + 2y) -6 + 8y = (4 * 3 + 2y * 3) -6 + 8y = (12 + 6y) Solving -6 + 8y = 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. -6 + 8y + -6y = 12 + 6y + -6y Combine like terms: 8y + -6y = 2y -6 + 2y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 -6 + 2y = 12 + 0 -6 + 2y = 12 Add '6' to each side of the equation. -6 + 6 + 2y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 2y = 12 + 6 2y = 12 + 6 Combine like terms: 12 + 6 = 18 2y = 18 Divide each side by '2'. y = 9 Simplifying y = 9
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