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Simplifying 5(5y + -7) + -1(2y + 1) = 0 Reorder the terms: 5(-7 + 5y) + -1(2y + 1) = 0 (-7 * 5 + 5y * 5) + -1(2y + 1) = 0 (-35 + 25y) + -1(2y + 1) = 0 Reorder the terms: -35 + 25y + -1(1 + 2y) = 0 -35 + 25y + (1 * -1 + 2y * -1) = 0 -35 + 25y + (-1 + -2y) = 0 Reorder the terms: -35 + -1 + 25y + -2y = 0 Combine like terms: -35 + -1 = -36 -36 + 25y + -2y = 0 Combine like terms: 25y + -2y = 23y -36 + 23y = 0 Solving -36 + 23y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 23y = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 23y = 0 + 36 23y = 0 + 36 Combine like terms: 0 + 36 = 36 23y = 36 Divide each side by '23'. y = 1.565217391 Simplifying y = 1.565217391
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