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Simplifying 2(y + 4) = 2(y + -4) + 4y Reorder the terms: 2(4 + y) = 2(y + -4) + 4y (4 * 2 + y * 2) = 2(y + -4) + 4y (8 + 2y) = 2(y + -4) + 4y Reorder the terms: 8 + 2y = 2(-4 + y) + 4y 8 + 2y = (-4 * 2 + y * 2) + 4y 8 + 2y = (-8 + 2y) + 4y Combine like terms: 2y + 4y = 6y 8 + 2y = -8 + 6y Solving 8 + 2y = -8 + 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. 8 + 2y + -6y = -8 + 6y + -6y Combine like terms: 2y + -6y = -4y 8 + -4y = -8 + 6y + -6y Combine like terms: 6y + -6y = 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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