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Simplifying 5y + -7 = 3y + 1 Reorder the terms: -7 + 5y = 3y + 1 Reorder the terms: -7 + 5y = 1 + 3y Solving -7 + 5y = 1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -7 + 5y + -3y = 1 + 3y + -3y Combine like terms: 5y + -3y = 2y -7 + 2y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -7 + 2y = 1 + 0 -7 + 2y = 1 Add '7' to each side of the equation. -7 + 7 + 2y = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = 1 + 7 2y = 1 + 7 Combine like terms: 1 + 7 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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