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Simplifying 4y + 13 + 2y = 7 + 3y Reorder the terms: 13 + 4y + 2y = 7 + 3y Combine like terms: 4y + 2y = 6y 13 + 6y = 7 + 3y Solving 13 + 6y = 7 + 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 + 6y + -3y = 7 + 3y + -3y Combine like terms: 6y + -3y = 3y 13 + 3y = 7 + 3y + -3y Combine like terms: 3y + -3y = 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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