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Simplifying -2(4y + -5) + (2y + 1) = 6 Reorder the terms: -2(-5 + 4y) + (2y + 1) = 6 (-5 * -2 + 4y * -2) + (2y + 1) = 6 (10 + -8y) + (2y + 1) = 6 Reorder the terms: 10 + -8y + (1 + 2y) = 6 Remove parenthesis around (1 + 2y) 10 + -8y + 1 + 2y = 6 Reorder the terms: 10 + 1 + -8y + 2y = 6 Combine like terms: 10 + 1 = 11 11 + -8y + 2y = 6 Combine like terms: -8y + 2y = -6y 11 + -6y = 6 Solving 11 + -6y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -6y = 6 + -11 Combine like terms: 11 + -11 = 0 0 + -6y = 6 + -11 -6y = 6 + -11 Combine like terms: 6 + -11 = -5 -6y = -5 Divide each side by '-6'. y = 0.8333333333 Simplifying y = 0.8333333333
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