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Simplifying 5(2y + -4) + -1(6y + 7) = 0 Reorder the terms: 5(-4 + 2y) + -1(6y + 7) = 0 (-4 * 5 + 2y * 5) + -1(6y + 7) = 0 (-20 + 10y) + -1(6y + 7) = 0 Reorder the terms: -20 + 10y + -1(7 + 6y) = 0 -20 + 10y + (7 * -1 + 6y * -1) = 0 -20 + 10y + (-7 + -6y) = 0 Reorder the terms: -20 + -7 + 10y + -6y = 0 Combine like terms: -20 + -7 = -27 -27 + 10y + -6y = 0 Combine like terms: 10y + -6y = 4y -27 + 4y = 0 Solving -27 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 4y = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 4y = 0 + 27 4y = 0 + 27 Combine like terms: 0 + 27 = 27 4y = 27 Divide each side by '4'. y = 6.75 Simplifying y = 6.75
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