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Simplifying 8y + -8 + 2(3y + 8) = -2(y + 3) Reorder the terms: 8y + -8 + 2(8 + 3y) = -2(y + 3) 8y + -8 + (8 * 2 + 3y * 2) = -2(y + 3) 8y + -8 + (16 + 6y) = -2(y + 3) Reorder the terms: -8 + 16 + 8y + 6y = -2(y + 3) Combine like terms: -8 + 16 = 8 8 + 8y + 6y = -2(y + 3) Combine like terms: 8y + 6y = 14y 8 + 14y = -2(y + 3) Reorder the terms: 8 + 14y = -2(3 + y) 8 + 14y = (3 * -2 + y * -2) 8 + 14y = (-6 + -2y) Solving 8 + 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. 8 + 14y + 2y = -6 + -2y + 2y Combine like terms: 14y + 2y = 16y 8 + 16y = -6 + -2y + 2y Combine like terms: -2y + 2y = 0 8 + 16y = -6 + 0 8 + 16y = -6 Add '-8' to each side of the equation. 8 + -8 + 16y = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 16y = -6 + -8 16y = -6 + -8 Combine like terms: -6 + -8 = -14 16y = -14 Divide each side by '16'. y = -0.875 Simplifying y = -0.875
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