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