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Simplifying 3y + -8 + 2(4y + 6) = -3(y + 2) Reorder the terms: 3y + -8 + 2(6 + 4y) = -3(y + 2) 3y + -8 + (6 * 2 + 4y * 2) = -3(y + 2) 3y + -8 + (12 + 8y) = -3(y + 2) Reorder the terms: -8 + 12 + 3y + 8y = -3(y + 2) Combine like terms: -8 + 12 = 4 4 + 3y + 8y = -3(y + 2) Combine like terms: 3y + 8y = 11y 4 + 11y = -3(y + 2) Reorder the terms: 4 + 11y = -3(2 + y) 4 + 11y = (2 * -3 + y * -3) 4 + 11y = (-6 + -3y) Solving 4 + 11y = -6 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 4 + 11y + 3y = -6 + -3y + 3y Combine like terms: 11y + 3y = 14y 4 + 14y = -6 + -3y + 3y Combine like terms: -3y + 3y = 0 4 + 14y = -6 + 0 4 + 14y = -6 Add '-4' to each side of the equation. 4 + -4 + 14y = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 14y = -6 + -4 14y = -6 + -4 Combine like terms: -6 + -4 = -10 14y = -10 Divide each side by '14'. y = -0.7142857143 Simplifying y = -0.7142857143
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