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Simplifying 6y + 7 = 4y + 13 Reorder the terms: 7 + 6y = 4y + 13 Reorder the terms: 7 + 6y = 13 + 4y Solving 7 + 6y = 13 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 7 + 6y + -4y = 13 + 4y + -4y Combine like terms: 6y + -4y = 2y 7 + 2y = 13 + 4y + -4y Combine like terms: 4y + -4y = 0 7 + 2y = 13 + 0 7 + 2y = 13 Add '-7' to each side of the equation. 7 + -7 + 2y = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = 13 + -7 2y = 13 + -7 Combine like terms: 13 + -7 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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