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Simplifying 2(2y + -4) = 3(y + 2) Reorder the terms: 2(-4 + 2y) = 3(y + 2) (-4 * 2 + 2y * 2) = 3(y + 2) (-8 + 4y) = 3(y + 2) Reorder the terms: -8 + 4y = 3(2 + y) -8 + 4y = (2 * 3 + y * 3) -8 + 4y = (6 + 3y) Solving -8 + 4y = 6 + 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. -8 + 4y + -3y = 6 + 3y + -3y Combine like terms: 4y + -3y = 1y -8 + 1y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 1y = 6 + 0 -8 + 1y = 6 Add '8' to each side of the equation. -8 + 8 + 1y = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 1y = 6 + 8 1y = 6 + 8 Combine like terms: 6 + 8 = 14 1y = 14 Divide each side by '1'. y = 14 Simplifying y = 14
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