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Simplifying 2(3y + -4) + -1(7y + 1) = 0 Reorder the terms: 2(-4 + 3y) + -1(7y + 1) = 0 (-4 * 2 + 3y * 2) + -1(7y + 1) = 0 (-8 + 6y) + -1(7y + 1) = 0 Reorder the terms: -8 + 6y + -1(1 + 7y) = 0 -8 + 6y + (1 * -1 + 7y * -1) = 0 -8 + 6y + (-1 + -7y) = 0 Reorder the terms: -8 + -1 + 6y + -7y = 0 Combine like terms: -8 + -1 = -9 -9 + 6y + -7y = 0 Combine like terms: 6y + -7y = -1y -9 + -1y = 0 Solving -9 + -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 0 + 9 -1y = 0 + 9 Combine like terms: 0 + 9 = 9 -1y = 9 Divide each side by '-1'. y = -9 Simplifying y = -9
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