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