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Simplifying 3(7y + -9) + -1(8y + 7) = 0 Reorder the terms: 3(-9 + 7y) + -1(8y + 7) = 0 (-9 * 3 + 7y * 3) + -1(8y + 7) = 0 (-27 + 21y) + -1(8y + 7) = 0 Reorder the terms: -27 + 21y + -1(7 + 8y) = 0 -27 + 21y + (7 * -1 + 8y * -1) = 0 -27 + 21y + (-7 + -8y) = 0 Reorder the terms: -27 + -7 + 21y + -8y = 0 Combine like terms: -27 + -7 = -34 -34 + 21y + -8y = 0 Combine like terms: 21y + -8y = 13y -34 + 13y = 0 Solving -34 + 13y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 13y = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 13y = 0 + 34 13y = 0 + 34 Combine like terms: 0 + 34 = 34 13y = 34 Divide each side by '13'. y = 2.615384615 Simplifying y = 2.615384615
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