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Simplifying (y + -8) + -1(y + 5) = 5y Reorder the terms: (-8 + y) + -1(y + 5) = 5y Remove parenthesis around (-8 + y) -8 + y + -1(y + 5) = 5y Reorder the terms: -8 + y + -1(5 + y) = 5y -8 + y + (5 * -1 + y * -1) = 5y -8 + y + (-5 + -1y) = 5y Reorder the terms: -8 + -5 + y + -1y = 5y Combine like terms: -8 + -5 = -13 -13 + y + -1y = 5y Combine like terms: y + -1y = 0 -13 + 0 = 5y -13 = 5y Solving -13 = 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. -13 + -5y = 5y + -5y Combine like terms: 5y + -5y = 0 -13 + -5y = 0 Add '13' to each side of the equation. -13 + 13 + -5y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -5y = 0 + 13 -5y = 0 + 13 Combine like terms: 0 + 13 = 13 -5y = 13 Divide each side by '-5'. y = -2.6 Simplifying y = -2.6
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