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Simplifying 6(y + 10) + y = 3(y + 2) + -2 Reorder the terms: 6(10 + y) + y = 3(y + 2) + -2 (10 * 6 + y * 6) + y = 3(y + 2) + -2 (60 + 6y) + y = 3(y + 2) + -2 Combine like terms: 6y + y = 7y 60 + 7y = 3(y + 2) + -2 Reorder the terms: 60 + 7y = 3(2 + y) + -2 60 + 7y = (2 * 3 + y * 3) + -2 60 + 7y = (6 + 3y) + -2 Reorder the terms: 60 + 7y = 6 + -2 + 3y Combine like terms: 6 + -2 = 4 60 + 7y = 4 + 3y Solving 60 + 7y = 4 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 60 + 7y + -3y = 4 + 3y + -3y Combine like terms: 7y + -3y = 4y 60 + 4y = 4 + 3y + -3y Combine like terms: 3y + -3y = 0 60 + 4y = 4 + 0 60 + 4y = 4 Add '-60' to each side of the equation. 60 + -60 + 4y = 4 + -60 Combine like terms: 60 + -60 = 0 0 + 4y = 4 + -60 4y = 4 + -60 Combine like terms: 4 + -60 = -56 4y = -56 Divide each side by '4'. y = -14 Simplifying y = -14
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