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Simplifying 6(y + 1) = -2(4y + -4) + 8 Reorder the terms: 6(1 + y) = -2(4y + -4) + 8 (1 * 6 + y * 6) = -2(4y + -4) + 8 (6 + 6y) = -2(4y + -4) + 8 Reorder the terms: 6 + 6y = -2(-4 + 4y) + 8 6 + 6y = (-4 * -2 + 4y * -2) + 8 6 + 6y = (8 + -8y) + 8 Reorder the terms: 6 + 6y = 8 + 8 + -8y Combine like terms: 8 + 8 = 16 6 + 6y = 16 + -8y Solving 6 + 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. 6 + 6y + 8y = 16 + -8y + 8y Combine like terms: 6y + 8y = 14y 6 + 14y = 16 + -8y + 8y Combine like terms: -8y + 8y = 0 6 + 14y = 16 + 0 6 + 14y = 16 Add '-6' to each side of the equation. 6 + -6 + 14y = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 14y = 16 + -6 14y = 16 + -6 Combine like terms: 16 + -6 = 10 14y = 10 Divide each side by '14'. y = 0.7142857143 Simplifying y = 0.7142857143
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