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Simplifying -2(8y + -2) + 8y = 6(y + 2) Reorder the terms: -2(-2 + 8y) + 8y = 6(y + 2) (-2 * -2 + 8y * -2) + 8y = 6(y + 2) (4 + -16y) + 8y = 6(y + 2) Combine like terms: -16y + 8y = -8y 4 + -8y = 6(y + 2) Reorder the terms: 4 + -8y = 6(2 + y) 4 + -8y = (2 * 6 + y * 6) 4 + -8y = (12 + 6y) Solving 4 + -8y = 12 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 4 + -8y + -6y = 12 + 6y + -6y Combine like terms: -8y + -6y = -14y 4 + -14y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 4 + -14y = 12 + 0 4 + -14y = 12 Add '-4' to each side of the equation. 4 + -4 + -14y = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -14y = 12 + -4 -14y = 12 + -4 Combine like terms: 12 + -4 = 8 -14y = 8 Divide each side by '-14'. y = -0.5714285714 Simplifying y = -0.5714285714
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