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Simplifying 6(2y + 5) + 7(1 + -1y) = 57 Reorder the terms: 6(5 + 2y) + 7(1 + -1y) = 57 (5 * 6 + 2y * 6) + 7(1 + -1y) = 57 (30 + 12y) + 7(1 + -1y) = 57 30 + 12y + (1 * 7 + -1y * 7) = 57 30 + 12y + (7 + -7y) = 57 Reorder the terms: 30 + 7 + 12y + -7y = 57 Combine like terms: 30 + 7 = 37 37 + 12y + -7y = 57 Combine like terms: 12y + -7y = 5y 37 + 5y = 57 Solving 37 + 5y = 57 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 5y = 57 + -37 Combine like terms: 37 + -37 = 0 0 + 5y = 57 + -37 5y = 57 + -37 Combine like terms: 57 + -37 = 20 5y = 20 Divide each side by '5'. y = 4 Simplifying y = 4
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