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Simplifying 5y + 3 = 2y + 12 Reorder the terms: 3 + 5y = 2y + 12 Reorder the terms: 3 + 5y = 12 + 2y Solving 3 + 5y = 12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 3 + 5y + -2y = 12 + 2y + -2y Combine like terms: 5y + -2y = 3y 3 + 3y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 3 + 3y = 12 + 0 3 + 3y = 12 Add '-3' to each side of the equation. 3 + -3 + 3y = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 3y = 12 + -3 3y = 12 + -3 Combine like terms: 12 + -3 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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