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Simplifying 5(y + -8) + -1(9y + 4) + -4(2y + -7) = 0 Reorder the terms: 5(-8 + y) + -1(9y + 4) + -4(2y + -7) = 0 (-8 * 5 + y * 5) + -1(9y + 4) + -4(2y + -7) = 0 (-40 + 5y) + -1(9y + 4) + -4(2y + -7) = 0 Reorder the terms: -40 + 5y + -1(4 + 9y) + -4(2y + -7) = 0 -40 + 5y + (4 * -1 + 9y * -1) + -4(2y + -7) = 0 -40 + 5y + (-4 + -9y) + -4(2y + -7) = 0 Reorder the terms: -40 + 5y + -4 + -9y + -4(-7 + 2y) = 0 -40 + 5y + -4 + -9y + (-7 * -4 + 2y * -4) = 0 -40 + 5y + -4 + -9y + (28 + -8y) = 0 Reorder the terms: -40 + -4 + 28 + 5y + -9y + -8y = 0 Combine like terms: -40 + -4 = -44 -44 + 28 + 5y + -9y + -8y = 0 Combine like terms: -44 + 28 = -16 -16 + 5y + -9y + -8y = 0 Combine like terms: 5y + -9y = -4y -16 + -4y + -8y = 0 Combine like terms: -4y + -8y = -12y -16 + -12y = 0 Solving -16 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -12y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -12y = 0 + 16 -12y = 0 + 16 Combine like terms: 0 + 16 = 16 -12y = 16 Divide each side by '-12'. y = -1.333333333 Simplifying y = -1.333333333
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