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