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Simplifying (6y + 5) + -1(4 + 5y) = 2 Reorder the terms: (5 + 6y) + -1(4 + 5y) = 2 Remove parenthesis around (5 + 6y) 5 + 6y + -1(4 + 5y) = 2 5 + 6y + (4 * -1 + 5y * -1) = 2 5 + 6y + (-4 + -5y) = 2 Reorder the terms: 5 + -4 + 6y + -5y = 2 Combine like terms: 5 + -4 = 1 1 + 6y + -5y = 2 Combine like terms: 6y + -5y = 1y 1 + 1y = 2 Solving 1 + 1y = 2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1y = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 1y = 2 + -1 1y = 2 + -1 Combine like terms: 2 + -1 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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