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Simplifying (5y + 7) + -1(5 + 4y) = 12 Reorder the terms: (7 + 5y) + -1(5 + 4y) = 12 Remove parenthesis around (7 + 5y) 7 + 5y + -1(5 + 4y) = 12 7 + 5y + (5 * -1 + 4y * -1) = 12 7 + 5y + (-5 + -4y) = 12 Reorder the terms: 7 + -5 + 5y + -4y = 12 Combine like terms: 7 + -5 = 2 2 + 5y + -4y = 12 Combine like terms: 5y + -4y = 1y 2 + 1y = 12 Solving 2 + 1y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1y = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = 12 + -2 1y = 12 + -2 Combine like terms: 12 + -2 = 10 1y = 10 Divide each side by '1'. y = 10 Simplifying y = 10
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