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Simplifying 7(2y + -3) + -1(5y + 7) = 0 Reorder the terms: 7(-3 + 2y) + -1(5y + 7) = 0 (-3 * 7 + 2y * 7) + -1(5y + 7) = 0 (-21 + 14y) + -1(5y + 7) = 0 Reorder the terms: -21 + 14y + -1(7 + 5y) = 0 -21 + 14y + (7 * -1 + 5y * -1) = 0 -21 + 14y + (-7 + -5y) = 0 Reorder the terms: -21 + -7 + 14y + -5y = 0 Combine like terms: -21 + -7 = -28 -28 + 14y + -5y = 0 Combine like terms: 14y + -5y = 9y -28 + 9y = 0 Solving -28 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 9y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 9y = 0 + 28 9y = 0 + 28 Combine like terms: 0 + 28 = 28 9y = 28 Divide each side by '9'. y = 3.111111111 Simplifying y = 3.111111111
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