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Simplifying 5y + -1 = 3(y + 2) + 3 Reorder the terms: -1 + 5y = 3(y + 2) + 3 Reorder the terms: -1 + 5y = 3(2 + y) + 3 -1 + 5y = (2 * 3 + y * 3) + 3 -1 + 5y = (6 + 3y) + 3 Reorder the terms: -1 + 5y = 6 + 3 + 3y Combine like terms: 6 + 3 = 9 -1 + 5y = 9 + 3y Solving -1 + 5y = 9 + 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. -1 + 5y + -3y = 9 + 3y + -3y Combine like terms: 5y + -3y = 2y -1 + 2y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 -1 + 2y = 9 + 0 -1 + 2y = 9 Add '1' to each side of the equation. -1 + 1 + 2y = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 2y = 9 + 1 2y = 9 + 1 Combine like terms: 9 + 1 = 10 2y = 10 Divide each side by '2'. y = 5 Simplifying y = 5
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