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Simplifying 5y + 3 = 2(y + 12) Reorder the terms: 3 + 5y = 2(y + 12) Reorder the terms: 3 + 5y = 2(12 + y) 3 + 5y = (12 * 2 + y * 2) 3 + 5y = (24 + 2y) Solving 3 + 5y = 24 + 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 = 24 + 2y + -2y Combine like terms: 5y + -2y = 3y 3 + 3y = 24 + 2y + -2y Combine like terms: 2y + -2y = 0 3 + 3y = 24 + 0 3 + 3y = 24 Add '-3' to each side of the equation. 3 + -3 + 3y = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 3y = 24 + -3 3y = 24 + -3 Combine like terms: 24 + -3 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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