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Simplifying 4(2y + -1) + -5(y + -2) = 8 Reorder the terms: 4(-1 + 2y) + -5(y + -2) = 8 (-1 * 4 + 2y * 4) + -5(y + -2) = 8 (-4 + 8y) + -5(y + -2) = 8 Reorder the terms: -4 + 8y + -5(-2 + y) = 8 -4 + 8y + (-2 * -5 + y * -5) = 8 -4 + 8y + (10 + -5y) = 8 Reorder the terms: -4 + 10 + 8y + -5y = 8 Combine like terms: -4 + 10 = 6 6 + 8y + -5y = 8 Combine like terms: 8y + -5y = 3y 6 + 3y = 8 Solving 6 + 3y = 8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 3y = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 3y = 8 + -6 3y = 8 + -6 Combine like terms: 8 + -6 = 2 3y = 2 Divide each side by '3'. y = 0.6666666667 Simplifying y = 0.6666666667
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