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Simplifying 30 + 6y = 3y + 51 Reorder the terms: 30 + 6y = 51 + 3y Solving 30 + 6y = 51 + 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. 30 + 6y + -3y = 51 + 3y + -3y Combine like terms: 6y + -3y = 3y 30 + 3y = 51 + 3y + -3y Combine like terms: 3y + -3y = 0 30 + 3y = 51 + 0 30 + 3y = 51 Add '-30' to each side of the equation. 30 + -30 + 3y = 51 + -30 Combine like terms: 30 + -30 = 0 0 + 3y = 51 + -30 3y = 51 + -30 Combine like terms: 51 + -30 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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