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Simplifying 0 = 7(2y + -8) + -1(5y + 9) Reorder the terms: 0 = 7(-8 + 2y) + -1(5y + 9) 0 = (-8 * 7 + 2y * 7) + -1(5y + 9) 0 = (-56 + 14y) + -1(5y + 9) Reorder the terms: 0 = -56 + 14y + -1(9 + 5y) 0 = -56 + 14y + (9 * -1 + 5y * -1) 0 = -56 + 14y + (-9 + -5y) Reorder the terms: 0 = -56 + -9 + 14y + -5y Combine like terms: -56 + -9 = -65 0 = -65 + 14y + -5y Combine like terms: 14y + -5y = 9y 0 = -65 + 9y Solving 0 = -65 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 0 + -9y = -65 + 9y + -9y Remove the zero: -9y = -65 + 9y + -9y Combine like terms: 9y + -9y = 0 -9y = -65 + 0 -9y = -65 Divide each side by '-9'. y = 7.222222222 Simplifying y = 7.222222222
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