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Simplifying 5y + 2 = 7y + 8 + y Reorder the terms: 2 + 5y = 7y + 8 + y Reorder the terms: 2 + 5y = 8 + 7y + y Combine like terms: 7y + y = 8y 2 + 5y = 8 + 8y Solving 2 + 5y = 8 + 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. 2 + 5y + -8y = 8 + 8y + -8y Combine like terms: 5y + -8y = -3y 2 + -3y = 8 + 8y + -8y Combine like terms: 8y + -8y = 0 2 + -3y = 8 + 0 2 + -3y = 8 Add '-2' to each side of the equation. 2 + -2 + -3y = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = 8 + -2 -3y = 8 + -2 Combine like terms: 8 + -2 = 6 -3y = 6 Divide each side by '-3'. y = -2 Simplifying y = -2
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