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Simplifying -3(4y + -9) + 2(2y + 5) = 0 Reorder the terms: -3(-9 + 4y) + 2(2y + 5) = 0 (-9 * -3 + 4y * -3) + 2(2y + 5) = 0 (27 + -12y) + 2(2y + 5) = 0 Reorder the terms: 27 + -12y + 2(5 + 2y) = 0 27 + -12y + (5 * 2 + 2y * 2) = 0 27 + -12y + (10 + 4y) = 0 Reorder the terms: 27 + 10 + -12y + 4y = 0 Combine like terms: 27 + 10 = 37 37 + -12y + 4y = 0 Combine like terms: -12y + 4y = -8y 37 + -8y = 0 Solving 37 + -8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -8y = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -8y = 0 + -37 -8y = 0 + -37 Combine like terms: 0 + -37 = -37 -8y = -37 Divide each side by '-8'. y = 4.625 Simplifying y = 4.625
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