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Simplifying 0 = 7(2y + -9) + -1(2y + 8) Reorder the terms: 0 = 7(-9 + 2y) + -1(2y + 8) 0 = (-9 * 7 + 2y * 7) + -1(2y + 8) 0 = (-63 + 14y) + -1(2y + 8) Reorder the terms: 0 = -63 + 14y + -1(8 + 2y) 0 = -63 + 14y + (8 * -1 + 2y * -1) 0 = -63 + 14y + (-8 + -2y) Reorder the terms: 0 = -63 + -8 + 14y + -2y Combine like terms: -63 + -8 = -71 0 = -71 + 14y + -2y Combine like terms: 14y + -2y = 12y 0 = -71 + 12y Solving 0 = -71 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 0 + -12y = -71 + 12y + -12y Remove the zero: -12y = -71 + 12y + -12y Combine like terms: 12y + -12y = 0 -12y = -71 + 0 -12y = -71 Divide each side by '-12'. y = 5.916666667 Simplifying y = 5.916666667
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