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Simplifying 4(2y + -9) + -1(2y + 3) = 0 Reorder the terms: 4(-9 + 2y) + -1(2y + 3) = 0 (-9 * 4 + 2y * 4) + -1(2y + 3) = 0 (-36 + 8y) + -1(2y + 3) = 0 Reorder the terms: -36 + 8y + -1(3 + 2y) = 0 -36 + 8y + (3 * -1 + 2y * -1) = 0 -36 + 8y + (-3 + -2y) = 0 Reorder the terms: -36 + -3 + 8y + -2y = 0 Combine like terms: -36 + -3 = -39 -39 + 8y + -2y = 0 Combine like terms: 8y + -2y = 6y -39 + 6y = 0 Solving -39 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 6y = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 6y = 0 + 39 6y = 0 + 39 Combine like terms: 0 + 39 = 39 6y = 39 Divide each side by '6'. y = 6.5 Simplifying y = 6.5
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