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Simplifying (3y + 2y + -11) + -1(-1y + -6y + 8) = 0 Reorder the terms: (-11 + 3y + 2y) + -1(-1y + -6y + 8) = 0 Combine like terms: 3y + 2y = 5y (-11 + 5y) + -1(-1y + -6y + 8) = 0 Remove parenthesis around (-11 + 5y) -11 + 5y + -1(-1y + -6y + 8) = 0 Reorder the terms: -11 + 5y + -1(8 + -1y + -6y) = 0 Combine like terms: -1y + -6y = -7y -11 + 5y + -1(8 + -7y) = 0 -11 + 5y + (8 * -1 + -7y * -1) = 0 -11 + 5y + (-8 + 7y) = 0 Reorder the terms: -11 + -8 + 5y + 7y = 0 Combine like terms: -11 + -8 = -19 -19 + 5y + 7y = 0 Combine like terms: 5y + 7y = 12y -19 + 12y = 0 Solving -19 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 12y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 12y = 0 + 19 12y = 0 + 19 Combine like terms: 0 + 19 = 19 12y = 19 Divide each side by '12'. y = 1.583333333 Simplifying y = 1.583333333
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