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Simplifying 6y + 2 + -4y + 8 = -5y + -4 Reorder the terms: 2 + 8 + 6y + -4y = -5y + -4 Combine like terms: 2 + 8 = 10 10 + 6y + -4y = -5y + -4 Combine like terms: 6y + -4y = 2y 10 + 2y = -5y + -4 Reorder the terms: 10 + 2y = -4 + -5y Solving 10 + 2y = -4 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 10 + 2y + 5y = -4 + -5y + 5y Combine like terms: 2y + 5y = 7y 10 + 7y = -4 + -5y + 5y Combine like terms: -5y + 5y = 0 10 + 7y = -4 + 0 10 + 7y = -4 Add '-10' to each side of the equation. 10 + -10 + 7y = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 7y = -4 + -10 7y = -4 + -10 Combine like terms: -4 + -10 = -14 7y = -14 Divide each side by '7'. y = -2 Simplifying y = -2
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