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Simplifying 5(y + -1) = 3y + 7 Reorder the terms: 5(-1 + y) = 3y + 7 (-1 * 5 + y * 5) = 3y + 7 (-5 + 5y) = 3y + 7 Reorder the terms: -5 + 5y = 7 + 3y Solving -5 + 5y = 7 + 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. -5 + 5y + -3y = 7 + 3y + -3y Combine like terms: 5y + -3y = 2y -5 + 2y = 7 + 3y + -3y Combine like terms: 3y + -3y = 0 -5 + 2y = 7 + 0 -5 + 2y = 7 Add '5' to each side of the equation. -5 + 5 + 2y = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = 7 + 5 2y = 7 + 5 Combine like terms: 7 + 5 = 12 2y = 12 Divide each side by '2'. y = 6 Simplifying y = 6
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