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Simplifying 2y + -8 + 6(2y + 1) = -2(y + 4) Reorder the terms: 2y + -8 + 6(1 + 2y) = -2(y + 4) 2y + -8 + (1 * 6 + 2y * 6) = -2(y + 4) 2y + -8 + (6 + 12y) = -2(y + 4) Reorder the terms: -8 + 6 + 2y + 12y = -2(y + 4) Combine like terms: -8 + 6 = -2 -2 + 2y + 12y = -2(y + 4) Combine like terms: 2y + 12y = 14y -2 + 14y = -2(y + 4) Reorder the terms: -2 + 14y = -2(4 + y) -2 + 14y = (4 * -2 + y * -2) -2 + 14y = (-8 + -2y) Solving -2 + 14y = -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. -2 + 14y + 2y = -8 + -2y + 2y Combine like terms: 14y + 2y = 16y -2 + 16y = -8 + -2y + 2y Combine like terms: -2y + 2y = 0 -2 + 16y = -8 + 0 -2 + 16y = -8 Add '2' to each side of the equation. -2 + 2 + 16y = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 16y = -8 + 2 16y = -8 + 2 Combine like terms: -8 + 2 = -6 16y = -6 Divide each side by '16'. y = -0.375 Simplifying y = -0.375
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