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Simplifying (2y + 5) + -1(-6y + 4) = 5y Reorder the terms: (5 + 2y) + -1(-6y + 4) = 5y Remove parenthesis around (5 + 2y) 5 + 2y + -1(-6y + 4) = 5y Reorder the terms: 5 + 2y + -1(4 + -6y) = 5y 5 + 2y + (4 * -1 + -6y * -1) = 5y 5 + 2y + (-4 + 6y) = 5y Reorder the terms: 5 + -4 + 2y + 6y = 5y Combine like terms: 5 + -4 = 1 1 + 2y + 6y = 5y Combine like terms: 2y + 6y = 8y 1 + 8y = 5y Solving 1 + 8y = 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 1 + 8y + -5y = 5y + -5y Combine like terms: 8y + -5y = 3y 1 + 3y = 5y + -5y Combine like terms: 5y + -5y = 0 1 + 3y = 0 Add '-1' to each side of the equation. 1 + -1 + 3y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3y = 0 + -1 3y = 0 + -1 Combine like terms: 0 + -1 = -1 3y = -1 Divide each side by '3'. y = -0.3333333333 Simplifying y = -0.3333333333
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