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Simplifying 3y + -1(6y + -5) = 2y + -8 Reorder the terms: 3y + -1(-5 + 6y) = 2y + -8 3y + (-5 * -1 + 6y * -1) = 2y + -8 3y + (5 + -6y) = 2y + -8 Reorder the terms: 5 + 3y + -6y = 2y + -8 Combine like terms: 3y + -6y = -3y 5 + -3y = 2y + -8 Reorder the terms: 5 + -3y = -8 + 2y Solving 5 + -3y = -8 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 5 + -3y + -2y = -8 + 2y + -2y Combine like terms: -3y + -2y = -5y 5 + -5y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 5 + -5y = -8 + 0 5 + -5y = -8 Add '-5' to each side of the equation. 5 + -5 + -5y = -8 + -5 Combine like terms: 5 + -5 = 0 0 + -5y = -8 + -5 -5y = -8 + -5 Combine like terms: -8 + -5 = -13 -5y = -13 Divide each side by '-5'. y = 2.6 Simplifying y = 2.6
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