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Simplifying 5y + -13 = 3y + 5 Reorder the terms: -13 + 5y = 3y + 5 Reorder the terms: -13 + 5y = 5 + 3y Solving -13 + 5y = 5 + 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. -13 + 5y + -3y = 5 + 3y + -3y Combine like terms: 5y + -3y = 2y -13 + 2y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 -13 + 2y = 5 + 0 -13 + 2y = 5 Add '13' to each side of the equation. -13 + 13 + 2y = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 2y = 5 + 13 2y = 5 + 13 Combine like terms: 5 + 13 = 18 2y = 18 Divide each side by '2'. y = 9 Simplifying y = 9
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