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Simplifying y + -7(y + -5) = (-9y + 6) + -8 Reorder the terms: y + -7(-5 + y) = (-9y + 6) + -8 y + (-5 * -7 + y * -7) = (-9y + 6) + -8 y + (35 + -7y) = (-9y + 6) + -8 Reorder the terms: 35 + y + -7y = (-9y + 6) + -8 Combine like terms: y + -7y = -6y 35 + -6y = (-9y + 6) + -8 Reorder the terms: 35 + -6y = (6 + -9y) + -8 Remove parenthesis around (6 + -9y) 35 + -6y = 6 + -9y + -8 Reorder the terms: 35 + -6y = 6 + -8 + -9y Combine like terms: 6 + -8 = -2 35 + -6y = -2 + -9y Solving 35 + -6y = -2 + -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. 35 + -6y + 9y = -2 + -9y + 9y Combine like terms: -6y + 9y = 3y 35 + 3y = -2 + -9y + 9y Combine like terms: -9y + 9y = 0 35 + 3y = -2 + 0 35 + 3y = -2 Add '-35' to each side of the equation. 35 + -35 + 3y = -2 + -35 Combine like terms: 35 + -35 = 0 0 + 3y = -2 + -35 3y = -2 + -35 Combine like terms: -2 + -35 = -37 3y = -37 Divide each side by '3'. y = -12.33333333 Simplifying y = -12.33333333
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