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Simplifying 5y + 6 = 2y + 12 Reorder the terms: 6 + 5y = 2y + 12 Reorder the terms: 6 + 5y = 12 + 2y Solving 6 + 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. 6 + 5y + -2y = 12 + 2y + -2y Combine like terms: 5y + -2y = 3y 6 + 3y = 12 + 2y + -2y Combine like terms: 2y + -2y = 0 6 + 3y = 12 + 0 6 + 3y = 12 Add '-6' to each side of the equation. 6 + -6 + 3y = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3y = 12 + -6 3y = 12 + -6 Combine like terms: 12 + -6 = 6 3y = 6 Divide each side by '3'. y = 2 Simplifying y = 2
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