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Simplifying -2(y + 1) = 8y + -8 + 4(2y + 4) Reorder the terms: -2(1 + y) = 8y + -8 + 4(2y + 4) (1 * -2 + y * -2) = 8y + -8 + 4(2y + 4) (-2 + -2y) = 8y + -8 + 4(2y + 4) Reorder the terms: -2 + -2y = 8y + -8 + 4(4 + 2y) -2 + -2y = 8y + -8 + (4 * 4 + 2y * 4) -2 + -2y = 8y + -8 + (16 + 8y) Reorder the terms: -2 + -2y = -8 + 16 + 8y + 8y Combine like terms: -8 + 16 = 8 -2 + -2y = 8 + 8y + 8y Combine like terms: 8y + 8y = 16y -2 + -2y = 8 + 16y Solving -2 + -2y = 8 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -2 + -2y + -16y = 8 + 16y + -16y Combine like terms: -2y + -16y = -18y -2 + -18y = 8 + 16y + -16y Combine like terms: 16y + -16y = 0 -2 + -18y = 8 + 0 -2 + -18y = 8 Add '2' to each side of the equation. -2 + 2 + -18y = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -18y = 8 + 2 -18y = 8 + 2 Combine like terms: 8 + 2 = 10 -18y = 10 Divide each side by '-18'. y = -0.5555555556 Simplifying y = -0.5555555556
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