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Simplifying 4(3y + -7) + -1(5y + 3) = 0 Reorder the terms: 4(-7 + 3y) + -1(5y + 3) = 0 (-7 * 4 + 3y * 4) + -1(5y + 3) = 0 (-28 + 12y) + -1(5y + 3) = 0 Reorder the terms: -28 + 12y + -1(3 + 5y) = 0 -28 + 12y + (3 * -1 + 5y * -1) = 0 -28 + 12y + (-3 + -5y) = 0 Reorder the terms: -28 + -3 + 12y + -5y = 0 Combine like terms: -28 + -3 = -31 -31 + 12y + -5y = 0 Combine like terms: 12y + -5y = 7y -31 + 7y = 0 Solving -31 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 7y = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 7y = 0 + 31 7y = 0 + 31 Combine like terms: 0 + 31 = 31 7y = 31 Divide each side by '7'. y = 4.428571429 Simplifying y = 4.428571429
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