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Simplifying (5y + 5) + -1(2 + 4y) = 12 Reorder the terms: (5 + 5y) + -1(2 + 4y) = 12 Remove parenthesis around (5 + 5y) 5 + 5y + -1(2 + 4y) = 12 5 + 5y + (2 * -1 + 4y * -1) = 12 5 + 5y + (-2 + -4y) = 12 Reorder the terms: 5 + -2 + 5y + -4y = 12 Combine like terms: 5 + -2 = 3 3 + 5y + -4y = 12 Combine like terms: 5y + -4y = 1y 3 + 1y = 12 Solving 3 + 1y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 1y = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1y = 12 + -3 1y = 12 + -3 Combine like terms: 12 + -3 = 9 1y = 9 Divide each side by '1'. y = 9 Simplifying y = 9
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