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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 = -18 14y = -18 Divide each side by '14'. y = -1.285714286 Simplifying y = -1.285714286
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