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Simplifying -6y + 2 = 2(4y + 8) Reorder the terms: 2 + -6y = 2(4y + 8) Reorder the terms: 2 + -6y = 2(8 + 4y) 2 + -6y = (8 * 2 + 4y * 2) 2 + -6y = (16 + 8y) Solving 2 + -6y = 16 + 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. 2 + -6y + -8y = 16 + 8y + -8y Combine like terms: -6y + -8y = -14y 2 + -14y = 16 + 8y + -8y Combine like terms: 8y + -8y = 0 2 + -14y = 16 + 0 2 + -14y = 16 Add '-2' to each side of the equation. 2 + -2 + -14y = 16 + -2 Combine like terms: 2 + -2 = 0 0 + -14y = 16 + -2 -14y = 16 + -2 Combine like terms: 16 + -2 = 14 -14y = 14 Divide each side by '-14'. y = -1 Simplifying y = -1
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