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Simplifying y + -4 = 2y + 2 + -7y Reorder the terms: -4 + y = 2y + 2 + -7y Reorder the terms: -4 + y = 2 + 2y + -7y Combine like terms: 2y + -7y = -5y -4 + y = 2 + -5y Solving -4 + y = 2 + -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. -4 + y + 5y = 2 + -5y + 5y Combine like terms: y + 5y = 6y -4 + 6y = 2 + -5y + 5y Combine like terms: -5y + 5y = 0 -4 + 6y = 2 + 0 -4 + 6y = 2 Add '4' to each side of the equation. -4 + 4 + 6y = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 6y = 2 + 4 6y = 2 + 4 Combine like terms: 2 + 4 = 6 6y = 6 Divide each side by '6'. y = 1 Simplifying y = 1
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