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Simplifying -4(2y + -3) + 5(y + -4) = 0 Reorder the terms: -4(-3 + 2y) + 5(y + -4) = 0 (-3 * -4 + 2y * -4) + 5(y + -4) = 0 (12 + -8y) + 5(y + -4) = 0 Reorder the terms: 12 + -8y + 5(-4 + y) = 0 12 + -8y + (-4 * 5 + y * 5) = 0 12 + -8y + (-20 + 5y) = 0 Reorder the terms: 12 + -20 + -8y + 5y = 0 Combine like terms: 12 + -20 = -8 -8 + -8y + 5y = 0 Combine like terms: -8y + 5y = -3y -8 + -3y = 0 Solving -8 + -3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3y = 0 + 8 -3y = 0 + 8 Combine like terms: 0 + 8 = 8 -3y = 8 Divide each side by '-3'. y = -2.666666667 Simplifying y = -2.666666667
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