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Simplifying 7 + -6(y + -7) = 1 + -9y Reorder the terms: 7 + -6(-7 + y) = 1 + -9y 7 + (-7 * -6 + y * -6) = 1 + -9y 7 + (42 + -6y) = 1 + -9y Combine like terms: 7 + 42 = 49 49 + -6y = 1 + -9y Solving 49 + -6y = 1 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 49 + -6y + 9y = 1 + -9y + 9y Combine like terms: -6y + 9y = 3y 49 + 3y = 1 + -9y + 9y Combine like terms: -9y + 9y = 0 49 + 3y = 1 + 0 49 + 3y = 1 Add '-49' to each side of the equation. 49 + -49 + 3y = 1 + -49 Combine like terms: 49 + -49 = 0 0 + 3y = 1 + -49 3y = 1 + -49 Combine like terms: 1 + -49 = -48 3y = -48 Divide each side by '3'. y = -16 Simplifying y = -16
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