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Simplifying 8 = 6(y + -2) + -8y Reorder the terms: 8 = 6(-2 + y) + -8y 8 = (-2 * 6 + y * 6) + -8y 8 = (-12 + 6y) + -8y Combine like terms: 6y + -8y = -2y 8 = -12 + -2y Solving 8 = -12 + -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 + 2y = -12 + -2y + 2y Combine like terms: -2y + 2y = 0 8 + 2y = -12 + 0 8 + 2y = -12 Add '-8' to each side of the equation. 8 + -8 + 2y = -12 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = -12 + -8 2y = -12 + -8 Combine like terms: -12 + -8 = -20 2y = -20 Divide each side by '2'. y = -10 Simplifying y = -10
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