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Simplifying 7(4y + -7) + -1(3y + 9) = 0 Reorder the terms: 7(-7 + 4y) + -1(3y + 9) = 0 (-7 * 7 + 4y * 7) + -1(3y + 9) = 0 (-49 + 28y) + -1(3y + 9) = 0 Reorder the terms: -49 + 28y + -1(9 + 3y) = 0 -49 + 28y + (9 * -1 + 3y * -1) = 0 -49 + 28y + (-9 + -3y) = 0 Reorder the terms: -49 + -9 + 28y + -3y = 0 Combine like terms: -49 + -9 = -58 -58 + 28y + -3y = 0 Combine like terms: 28y + -3y = 25y -58 + 25y = 0 Solving -58 + 25y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 25y = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 25y = 0 + 58 25y = 0 + 58 Combine like terms: 0 + 58 = 58 25y = 58 Divide each side by '25'. y = 2.32 Simplifying y = 2.32
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