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Simplifying 2(y + -4) = 2(2 + -1y) + 4 Reorder the terms: 2(-4 + y) = 2(2 + -1y) + 4 (-4 * 2 + y * 2) = 2(2 + -1y) + 4 (-8 + 2y) = 2(2 + -1y) + 4 -8 + 2y = (2 * 2 + -1y * 2) + 4 -8 + 2y = (4 + -2y) + 4 Reorder the terms: -8 + 2y = 4 + 4 + -2y Combine like terms: 4 + 4 = 8 -8 + 2y = 8 + -2y Solving -8 + 2y = 8 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -8 + 2y + 2y = 8 + -2y + 2y Combine like terms: 2y + 2y = 4y -8 + 4y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 -8 + 4y = 8 + 0 -8 + 4y = 8 Add '8' to each side of the equation. -8 + 8 + 4y = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = 8 + 8 4y = 8 + 8 Combine like terms: 8 + 8 = 16 4y = 16 Divide each side by '4'. y = 4 Simplifying y = 4
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