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Simplifying 2(4y + -2) = 3(2y + 4) Reorder the terms: 2(-2 + 4y) = 3(2y + 4) (-2 * 2 + 4y * 2) = 3(2y + 4) (-4 + 8y) = 3(2y + 4) Reorder the terms: -4 + 8y = 3(4 + 2y) -4 + 8y = (4 * 3 + 2y * 3) -4 + 8y = (12 + 6y) Solving -4 + 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. -4 + 8y + -6y = 12 + 6y + -6y Combine like terms: 8y + -6y = 2y -4 + 2y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 -4 + 2y = 12 + 0 -4 + 2y = 12 Add '4' to each side of the equation. -4 + 4 + 2y = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = 12 + 4 2y = 12 + 4 Combine like terms: 12 + 4 = 16 2y = 16 Divide each side by '2'. y = 8 Simplifying y = 8
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