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Simplifying 2(4y + -3) + -1(2y + 5) = 0 Reorder the terms: 2(-3 + 4y) + -1(2y + 5) = 0 (-3 * 2 + 4y * 2) + -1(2y + 5) = 0 (-6 + 8y) + -1(2y + 5) = 0 Reorder the terms: -6 + 8y + -1(5 + 2y) = 0 -6 + 8y + (5 * -1 + 2y * -1) = 0 -6 + 8y + (-5 + -2y) = 0 Reorder the terms: -6 + -5 + 8y + -2y = 0 Combine like terms: -6 + -5 = -11 -11 + 8y + -2y = 0 Combine like terms: 8y + -2y = 6y -11 + 6y = 0 Solving -11 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 6y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 6y = 0 + 11 6y = 0 + 11 Combine like terms: 0 + 11 = 11 6y = 11 Divide each side by '6'. y = 1.833333333 Simplifying y = 1.833333333
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