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Simplifying 6 + -5(y + -4) = 4(y + -13) Reorder the terms: 6 + -5(-4 + y) = 4(y + -13) 6 + (-4 * -5 + y * -5) = 4(y + -13) 6 + (20 + -5y) = 4(y + -13) Combine like terms: 6 + 20 = 26 26 + -5y = 4(y + -13) Reorder the terms: 26 + -5y = 4(-13 + y) 26 + -5y = (-13 * 4 + y * 4) 26 + -5y = (-52 + 4y) Solving 26 + -5y = -52 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 26 + -5y + -4y = -52 + 4y + -4y Combine like terms: -5y + -4y = -9y 26 + -9y = -52 + 4y + -4y Combine like terms: 4y + -4y = 0 26 + -9y = -52 + 0 26 + -9y = -52 Add '-26' to each side of the equation. 26 + -26 + -9y = -52 + -26 Combine like terms: 26 + -26 = 0 0 + -9y = -52 + -26 -9y = -52 + -26 Combine like terms: -52 + -26 = -78 -9y = -78 Divide each side by '-9'. y = 8.666666667 Simplifying y = 8.666666667
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