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Simplifying -6y + -7(-1y + -3) = 2 + -7(7 + -1y) Reorder the terms: -6y + -7(-3 + -1y) = 2 + -7(7 + -1y) -6y + (-3 * -7 + -1y * -7) = 2 + -7(7 + -1y) -6y + (21 + 7y) = 2 + -7(7 + -1y) Reorder the terms: 21 + -6y + 7y = 2 + -7(7 + -1y) Combine like terms: -6y + 7y = 1y 21 + 1y = 2 + -7(7 + -1y) 21 + 1y = 2 + (7 * -7 + -1y * -7) 21 + 1y = 2 + (-49 + 7y) Combine like terms: 2 + -49 = -47 21 + 1y = -47 + 7y Solving 21 + 1y = -47 + 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. 21 + 1y + -7y = -47 + 7y + -7y Combine like terms: 1y + -7y = -6y 21 + -6y = -47 + 7y + -7y Combine like terms: 7y + -7y = 0 21 + -6y = -47 + 0 21 + -6y = -47 Add '-21' to each side of the equation. 21 + -21 + -6y = -47 + -21 Combine like terms: 21 + -21 = 0 0 + -6y = -47 + -21 -6y = -47 + -21 Combine like terms: -47 + -21 = -68 -6y = -68 Divide each side by '-6'. y = 11.33333333 Simplifying y = 11.33333333
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