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Simplifying 4(y + -8) + -1(9y + 11) + -1y = 0 Reorder the terms: 4(-8 + y) + -1(9y + 11) + -1y = 0 (-8 * 4 + y * 4) + -1(9y + 11) + -1y = 0 (-32 + 4y) + -1(9y + 11) + -1y = 0 Reorder the terms: -32 + 4y + -1(11 + 9y) + -1y = 0 -32 + 4y + (11 * -1 + 9y * -1) + -1y = 0 -32 + 4y + (-11 + -9y) + -1y = 0 Reorder the terms: -32 + -11 + 4y + -9y + -1y = 0 Combine like terms: -32 + -11 = -43 -43 + 4y + -9y + -1y = 0 Combine like terms: 4y + -9y = -5y -43 + -5y + -1y = 0 Combine like terms: -5y + -1y = -6y -43 + -6y = 0 Solving -43 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + -6y = 0 + 43 Combine like terms: -43 + 43 = 0 0 + -6y = 0 + 43 -6y = 0 + 43 Combine like terms: 0 + 43 = 43 -6y = 43 Divide each side by '-6'. y = -7.166666667 Simplifying y = -7.166666667
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