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Simplifying 3(3y + -1) = 5y + 1 Reorder the terms: 3(-1 + 3y) = 5y + 1 (-1 * 3 + 3y * 3) = 5y + 1 (-3 + 9y) = 5y + 1 Reorder the terms: -3 + 9y = 1 + 5y Solving -3 + 9y = 1 + 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 + 9y + -5y = 1 + 5y + -5y Combine like terms: 9y + -5y = 4y -3 + 4y = 1 + 5y + -5y Combine like terms: 5y + -5y = 0 -3 + 4y = 1 + 0 -3 + 4y = 1 Add '3' to each side of the equation. -3 + 3 + 4y = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 4y = 1 + 3 4y = 1 + 3 Combine like terms: 1 + 3 = 4 4y = 4 Divide each side by '4'. y = 1 Simplifying y = 1
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