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Simplifying 8y + -8 + 3(2y + 4) = -2(y + 3) Reorder the terms: 8y + -8 + 3(4 + 2y) = -2(y + 3) 8y + -8 + (4 * 3 + 2y * 3) = -2(y + 3) 8y + -8 + (12 + 6y) = -2(y + 3) Reorder the terms: -8 + 12 + 8y + 6y = -2(y + 3) Combine like terms: -8 + 12 = 4 4 + 8y + 6y = -2(y + 3) Combine like terms: 8y + 6y = 14y 4 + 14y = -2(y + 3) Reorder the terms: 4 + 14y = -2(3 + y) 4 + 14y = (3 * -2 + y * -2) 4 + 14y = (-6 + -2y) Solving 4 + 14y = -6 + -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. 4 + 14y + 2y = -6 + -2y + 2y Combine like terms: 14y + 2y = 16y 4 + 16y = -6 + -2y + 2y Combine like terms: -2y + 2y = 0 4 + 16y = -6 + 0 4 + 16y = -6 Add '-4' to each side of the equation. 4 + -4 + 16y = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 16y = -6 + -4 16y = -6 + -4 Combine like terms: -6 + -4 = -10 16y = -10 Divide each side by '16'. y = -0.625 Simplifying y = -0.625
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