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Simplifying 5y + 1 = 2y + 7 Reorder the terms: 1 + 5y = 2y + 7 Reorder the terms: 1 + 5y = 7 + 2y Solving 1 + 5y = 7 + 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. 1 + 5y + -2y = 7 + 2y + -2y Combine like terms: 5y + -2y = 3y 1 + 3y = 7 + 2y + -2y Combine like terms: 2y + -2y = 0 1 + 3y = 7 + 0 1 + 3y = 7 Add '-1' to each side of the equation. 1 + -1 + 3y = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = 7 + -1 3y = 7 + -1 Combine like terms: 7 + -1 = 6 3y = 6 Divide each side by '3'. y = 2 Simplifying y = 2
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