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Simplifying 4(2y + -7) + -1(5y + 5) = 0 Reorder the terms: 4(-7 + 2y) + -1(5y + 5) = 0 (-7 * 4 + 2y * 4) + -1(5y + 5) = 0 (-28 + 8y) + -1(5y + 5) = 0 Reorder the terms: -28 + 8y + -1(5 + 5y) = 0 -28 + 8y + (5 * -1 + 5y * -1) = 0 -28 + 8y + (-5 + -5y) = 0 Reorder the terms: -28 + -5 + 8y + -5y = 0 Combine like terms: -28 + -5 = -33 -33 + 8y + -5y = 0 Combine like terms: 8y + -5y = 3y -33 + 3y = 0 Solving -33 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 3y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 3y = 0 + 33 3y = 0 + 33 Combine like terms: 0 + 33 = 33 3y = 33 Divide each side by '3'. y = 11 Simplifying y = 11
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