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Simplifying 6(7 + y) + -1(1 + 7y) = 36 (7 * 6 + y * 6) + -1(1 + 7y) = 36 (42 + 6y) + -1(1 + 7y) = 36 42 + 6y + (1 * -1 + 7y * -1) = 36 42 + 6y + (-1 + -7y) = 36 Reorder the terms: 42 + -1 + 6y + -7y = 36 Combine like terms: 42 + -1 = 41 41 + 6y + -7y = 36 Combine like terms: 6y + -7y = -1y 41 + -1y = 36 Solving 41 + -1y = 36 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -1y = 36 + -41 Combine like terms: 41 + -41 = 0 0 + -1y = 36 + -41 -1y = 36 + -41 Combine like terms: 36 + -41 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5
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