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Simplifying 9 + -7(-5y + -9) = 6(2y + 7) + 3 Reorder the terms: 9 + -7(-9 + -5y) = 6(2y + 7) + 3 9 + (-9 * -7 + -5y * -7) = 6(2y + 7) + 3 9 + (63 + 35y) = 6(2y + 7) + 3 Combine like terms: 9 + 63 = 72 72 + 35y = 6(2y + 7) + 3 Reorder the terms: 72 + 35y = 6(7 + 2y) + 3 72 + 35y = (7 * 6 + 2y * 6) + 3 72 + 35y = (42 + 12y) + 3 Reorder the terms: 72 + 35y = 42 + 3 + 12y Combine like terms: 42 + 3 = 45 72 + 35y = 45 + 12y Solving 72 + 35y = 45 + 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. 72 + 35y + -12y = 45 + 12y + -12y Combine like terms: 35y + -12y = 23y 72 + 23y = 45 + 12y + -12y Combine like terms: 12y + -12y = 0 72 + 23y = 45 + 0 72 + 23y = 45 Add '-72' to each side of the equation. 72 + -72 + 23y = 45 + -72 Combine like terms: 72 + -72 = 0 0 + 23y = 45 + -72 23y = 45 + -72 Combine like terms: 45 + -72 = -27 23y = -27 Divide each side by '23'. y = -1.173913043 Simplifying y = -1.173913043
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