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Simplifying (7y + 8) + -1(4 + 6y) = 12 Reorder the terms: (8 + 7y) + -1(4 + 6y) = 12 Remove parenthesis around (8 + 7y) 8 + 7y + -1(4 + 6y) = 12 8 + 7y + (4 * -1 + 6y * -1) = 12 8 + 7y + (-4 + -6y) = 12 Reorder the terms: 8 + -4 + 7y + -6y = 12 Combine like terms: 8 + -4 = 4 4 + 7y + -6y = 12 Combine like terms: 7y + -6y = 1y 4 + 1y = 12 Solving 4 + 1y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1y = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = 12 + -4 1y = 12 + -4 Combine like terms: 12 + -4 = 8 1y = 8 Divide each side by '1'. y = 8 Simplifying y = 8
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