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Simplifying -4(5y + -9) + 3(2y + 9) = 0 Reorder the terms: -4(-9 + 5y) + 3(2y + 9) = 0 (-9 * -4 + 5y * -4) + 3(2y + 9) = 0 (36 + -20y) + 3(2y + 9) = 0 Reorder the terms: 36 + -20y + 3(9 + 2y) = 0 36 + -20y + (9 * 3 + 2y * 3) = 0 36 + -20y + (27 + 6y) = 0 Reorder the terms: 36 + 27 + -20y + 6y = 0 Combine like terms: 36 + 27 = 63 63 + -20y + 6y = 0 Combine like terms: -20y + 6y = -14y 63 + -14y = 0 Solving 63 + -14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -14y = 0 + -63 Combine like terms: 63 + -63 = 0 0 + -14y = 0 + -63 -14y = 0 + -63 Combine like terms: 0 + -63 = -63 -14y = -63 Divide each side by '-14'. y = 4.5 Simplifying y = 4.5
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