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Simplifying -1(4y + -8) * 8 = 2(y + 4) Reorder the terms: -1(-8 + 4y) * 8 = 2(y + 4) Reorder the terms for easier multiplication: -1 * 8(-8 + 4y) = 2(y + 4) Multiply -1 * 8 -8(-8 + 4y) = 2(y + 4) (-8 * -8 + 4y * -8) = 2(y + 4) (64 + -32y) = 2(y + 4) Reorder the terms: 64 + -32y = 2(4 + y) 64 + -32y = (4 * 2 + y * 2) 64 + -32y = (8 + 2y) Solving 64 + -32y = 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. 64 + -32y + -2y = 8 + 2y + -2y Combine like terms: -32y + -2y = -34y 64 + -34y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 64 + -34y = 8 + 0 64 + -34y = 8 Add '-64' to each side of the equation. 64 + -64 + -34y = 8 + -64 Combine like terms: 64 + -64 = 0 0 + -34y = 8 + -64 -34y = 8 + -64 Combine like terms: 8 + -64 = -56 -34y = -56 Divide each side by '-34'. y = 1.647058824 Simplifying y = 1.647058824
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