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Simplifying 2(3y + -4) + -1(5y + 7) = 0 Reorder the terms: 2(-4 + 3y) + -1(5y + 7) = 0 (-4 * 2 + 3y * 2) + -1(5y + 7) = 0 (-8 + 6y) + -1(5y + 7) = 0 Reorder the terms: -8 + 6y + -1(7 + 5y) = 0 -8 + 6y + (7 * -1 + 5y * -1) = 0 -8 + 6y + (-7 + -5y) = 0 Reorder the terms: -8 + -7 + 6y + -5y = 0 Combine like terms: -8 + -7 = -15 -15 + 6y + -5y = 0 Combine like terms: 6y + -5y = 1y -15 + 1y = 0 Solving -15 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 1y = 0 + 15 1y = 0 + 15 Combine like terms: 0 + 15 = 15 1y = 15 Divide each side by '1'. y = 15 Simplifying y = 15
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