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