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