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Simplifying 3(2y + -4) = 4y + 6 Reorder the terms: 3(-4 + 2y) = 4y + 6 (-4 * 3 + 2y * 3) = 4y + 6 (-12 + 6y) = 4y + 6 Reorder the terms: -12 + 6y = 6 + 4y Solving -12 + 6y = 6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -12 + 6y + -4y = 6 + 4y + -4y Combine like terms: 6y + -4y = 2y -12 + 2y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 -12 + 2y = 6 + 0 -12 + 2y = 6 Add '12' to each side of the equation. -12 + 12 + 2y = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 2y = 6 + 12 2y = 6 + 12 Combine like terms: 6 + 12 = 18 2y = 18 Divide each side by '2'. y = 9 Simplifying y = 9
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