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Simplifying (2y + -1) = (3y + -5) Reorder the terms: (-1 + 2y) = (3y + -5) Remove parenthesis around (-1 + 2y) -1 + 2y = (3y + -5) Reorder the terms: -1 + 2y = (-5 + 3y) Remove parenthesis around (-5 + 3y) -1 + 2y = -5 + 3y Solving -1 + 2y = -5 + 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 + 2y + -3y = -5 + 3y + -3y Combine like terms: 2y + -3y = -1y -1 + -1y = -5 + 3y + -3y Combine like terms: 3y + -3y = 0 -1 + -1y = -5 + 0 -1 + -1y = -5 Add '1' to each side of the equation. -1 + 1 + -1y = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = -5 + 1 -1y = -5 + 1 Combine like terms: -5 + 1 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4
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