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