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Simplifying 2(y + -8) = 8 + -4y Reorder the terms: 2(-8 + y) = 8 + -4y (-8 * 2 + y * 2) = 8 + -4y (-16 + 2y) = 8 + -4y Solving -16 + 2y = 8 + -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. -16 + 2y + 4y = 8 + -4y + 4y Combine like terms: 2y + 4y = 6y -16 + 6y = 8 + -4y + 4y Combine like terms: -4y + 4y = 0 -16 + 6y = 8 + 0 -16 + 6y = 8 Add '16' to each side of the equation. -16 + 16 + 6y = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 6y = 8 + 16 6y = 8 + 16 Combine like terms: 8 + 16 = 24 6y = 24 Divide each side by '6'. y = 4 Simplifying y = 4
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