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Simplifying 7y + -4 = 2y + 31 Reorder the terms: -4 + 7y = 2y + 31 Reorder the terms: -4 + 7y = 31 + 2y Solving -4 + 7y = 31 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -4 + 7y + -2y = 31 + 2y + -2y Combine like terms: 7y + -2y = 5y -4 + 5y = 31 + 2y + -2y Combine like terms: 2y + -2y = 0 -4 + 5y = 31 + 0 -4 + 5y = 31 Add '4' to each side of the equation. -4 + 4 + 5y = 31 + 4 Combine like terms: -4 + 4 = 0 0 + 5y = 31 + 4 5y = 31 + 4 Combine like terms: 31 + 4 = 35 5y = 35 Divide each side by '5'. y = 7 Simplifying y = 7
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