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Simplifying 5y + 2 = 3y + 12 Reorder the terms: 2 + 5y = 3y + 12 Reorder the terms: 2 + 5y = 12 + 3y Solving 2 + 5y = 12 + 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. 2 + 5y + -3y = 12 + 3y + -3y Combine like terms: 5y + -3y = 2y 2 + 2y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 2 + 2y = 12 + 0 2 + 2y = 12 Add '-2' to each side of the equation. 2 + -2 + 2y = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = 12 + -2 2y = 12 + -2 Combine like terms: 12 + -2 = 10 2y = 10 Divide each side by '2'. y = 5 Simplifying y = 5
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