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Simplifying 3(2y + -7) + -1(5y + 4) = 0 Reorder the terms: 3(-7 + 2y) + -1(5y + 4) = 0 (-7 * 3 + 2y * 3) + -1(5y + 4) = 0 (-21 + 6y) + -1(5y + 4) = 0 Reorder the terms: -21 + 6y + -1(4 + 5y) = 0 -21 + 6y + (4 * -1 + 5y * -1) = 0 -21 + 6y + (-4 + -5y) = 0 Reorder the terms: -21 + -4 + 6y + -5y = 0 Combine like terms: -21 + -4 = -25 -25 + 6y + -5y = 0 Combine like terms: 6y + -5y = 1y -25 + 1y = 0 Solving -25 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 1y = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 1y = 0 + 25 1y = 0 + 25 Combine like terms: 0 + 25 = 25 1y = 25 Divide each side by '1'. y = 25 Simplifying y = 25
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