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Simplifying 3(2y + -1) + y = 5y + 3 Reorder the terms: 3(-1 + 2y) + y = 5y + 3 (-1 * 3 + 2y * 3) + y = 5y + 3 (-3 + 6y) + y = 5y + 3 Combine like terms: 6y + y = 7y -3 + 7y = 5y + 3 Reorder the terms: -3 + 7y = 3 + 5y Solving -3 + 7y = 3 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -3 + 7y + -5y = 3 + 5y + -5y Combine like terms: 7y + -5y = 2y -3 + 2y = 3 + 5y + -5y Combine like terms: 5y + -5y = 0 -3 + 2y = 3 + 0 -3 + 2y = 3 Add '3' to each side of the equation. -3 + 3 + 2y = 3 + 3 Combine like terms: -3 + 3 = 0 0 + 2y = 3 + 3 2y = 3 + 3 Combine like terms: 3 + 3 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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