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Simplifying 7(2y + -5) + -1(9y + 7) = 0 Reorder the terms: 7(-5 + 2y) + -1(9y + 7) = 0 (-5 * 7 + 2y * 7) + -1(9y + 7) = 0 (-35 + 14y) + -1(9y + 7) = 0 Reorder the terms: -35 + 14y + -1(7 + 9y) = 0 -35 + 14y + (7 * -1 + 9y * -1) = 0 -35 + 14y + (-7 + -9y) = 0 Reorder the terms: -35 + -7 + 14y + -9y = 0 Combine like terms: -35 + -7 = -42 -42 + 14y + -9y = 0 Combine like terms: 14y + -9y = 5y -42 + 5y = 0 Solving -42 + 5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 5y = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 5y = 0 + 42 5y = 0 + 42 Combine like terms: 0 + 42 = 42 5y = 42 Divide each side by '5'. y = 8.4 Simplifying y = 8.4
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