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Simplifying 6(y + 7) + y = 4(y + 5) + -5 Reorder the terms: 6(7 + y) + y = 4(y + 5) + -5 (7 * 6 + y * 6) + y = 4(y + 5) + -5 (42 + 6y) + y = 4(y + 5) + -5 Combine like terms: 6y + y = 7y 42 + 7y = 4(y + 5) + -5 Reorder the terms: 42 + 7y = 4(5 + y) + -5 42 + 7y = (5 * 4 + y * 4) + -5 42 + 7y = (20 + 4y) + -5 Reorder the terms: 42 + 7y = 20 + -5 + 4y Combine like terms: 20 + -5 = 15 42 + 7y = 15 + 4y Solving 42 + 7y = 15 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 42 + 7y + -4y = 15 + 4y + -4y Combine like terms: 7y + -4y = 3y 42 + 3y = 15 + 4y + -4y Combine like terms: 4y + -4y = 0 42 + 3y = 15 + 0 42 + 3y = 15 Add '-42' to each side of the equation. 42 + -42 + 3y = 15 + -42 Combine like terms: 42 + -42 = 0 0 + 3y = 15 + -42 3y = 15 + -42 Combine like terms: 15 + -42 = -27 3y = -27 Divide each side by '3'. y = -9 Simplifying y = -9
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