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Simplifying 2(3y + 1) + 5 = 77 + 7(y + -9) Reorder the terms: 2(1 + 3y) + 5 = 77 + 7(y + -9) (1 * 2 + 3y * 2) + 5 = 77 + 7(y + -9) (2 + 6y) + 5 = 77 + 7(y + -9) Reorder the terms: 2 + 5 + 6y = 77 + 7(y + -9) Combine like terms: 2 + 5 = 7 7 + 6y = 77 + 7(y + -9) Reorder the terms: 7 + 6y = 77 + 7(-9 + y) 7 + 6y = 77 + (-9 * 7 + y * 7) 7 + 6y = 77 + (-63 + 7y) Combine like terms: 77 + -63 = 14 7 + 6y = 14 + 7y Solving 7 + 6y = 14 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 7 + 6y + -7y = 14 + 7y + -7y Combine like terms: 6y + -7y = -1y 7 + -1y = 14 + 7y + -7y Combine like terms: 7y + -7y = 0 7 + -1y = 14 + 0 7 + -1y = 14 Add '-7' to each side of the equation. 7 + -7 + -1y = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -1y = 14 + -7 -1y = 14 + -7 Combine like terms: 14 + -7 = 7 -1y = 7 Divide each side by '-1'. y = -7 Simplifying y = -7
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