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Simplifying (7y + 6) + -1(4 + 6y) = 8 Reorder the terms: (6 + 7y) + -1(4 + 6y) = 8 Remove parenthesis around (6 + 7y) 6 + 7y + -1(4 + 6y) = 8 6 + 7y + (4 * -1 + 6y * -1) = 8 6 + 7y + (-4 + -6y) = 8 Reorder the terms: 6 + -4 + 7y + -6y = 8 Combine like terms: 6 + -4 = 2 2 + 7y + -6y = 8 Combine like terms: 7y + -6y = 1y 2 + 1y = 8 Solving 2 + 1y = 8 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 = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 1y = 8 + -2 1y = 8 + -2 Combine like terms: 8 + -2 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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