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Simplifying 7y + 5 = 3y + 13 Reorder the terms: 5 + 7y = 3y + 13 Reorder the terms: 5 + 7y = 13 + 3y Solving 5 + 7y = 13 + 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. 5 + 7y + -3y = 13 + 3y + -3y Combine like terms: 7y + -3y = 4y 5 + 4y = 13 + 3y + -3y Combine like terms: 3y + -3y = 0 5 + 4y = 13 + 0 5 + 4y = 13 Add '-5' to each side of the equation. 5 + -5 + 4y = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 4y = 13 + -5 4y = 13 + -5 Combine like terms: 13 + -5 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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