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Simplifying 2y + 13 = 5y + 7 Reorder the terms: 13 + 2y = 5y + 7 Reorder the terms: 13 + 2y = 7 + 5y Solving 13 + 2y = 7 + 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. 13 + 2y + -5y = 7 + 5y + -5y Combine like terms: 2y + -5y = -3y 13 + -3y = 7 + 5y + -5y Combine like terms: 5y + -5y = 0 13 + -3y = 7 + 0 13 + -3y = 7 Add '-13' to each side of the equation. 13 + -13 + -3y = 7 + -13 Combine like terms: 13 + -13 = 0 0 + -3y = 7 + -13 -3y = 7 + -13 Combine like terms: 7 + -13 = -6 -3y = -6 Divide each side by '-3'. y = 2 Simplifying y = 2
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