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Simplifying (13y + -75) + 2(5 + -9y) = -17y Reorder the terms: (-75 + 13y) + 2(5 + -9y) = -17y Remove parenthesis around (-75 + 13y) -75 + 13y + 2(5 + -9y) = -17y -75 + 13y + (5 * 2 + -9y * 2) = -17y -75 + 13y + (10 + -18y) = -17y Reorder the terms: -75 + 10 + 13y + -18y = -17y Combine like terms: -75 + 10 = -65 -65 + 13y + -18y = -17y Combine like terms: 13y + -18y = -5y -65 + -5y = -17y Solving -65 + -5y = -17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17y' to each side of the equation. -65 + -5y + 17y = -17y + 17y Combine like terms: -5y + 17y = 12y -65 + 12y = -17y + 17y Combine like terms: -17y + 17y = 0 -65 + 12y = 0 Add '65' to each side of the equation. -65 + 65 + 12y = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 12y = 0 + 65 12y = 0 + 65 Combine like terms: 0 + 65 = 65 12y = 65 Divide each side by '12'. y = 5.416666667 Simplifying y = 5.416666667
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