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Simplifying -5(4y + -6) + 3(3y + 7) = 0 Reorder the terms: -5(-6 + 4y) + 3(3y + 7) = 0 (-6 * -5 + 4y * -5) + 3(3y + 7) = 0 (30 + -20y) + 3(3y + 7) = 0 Reorder the terms: 30 + -20y + 3(7 + 3y) = 0 30 + -20y + (7 * 3 + 3y * 3) = 0 30 + -20y + (21 + 9y) = 0 Reorder the terms: 30 + 21 + -20y + 9y = 0 Combine like terms: 30 + 21 = 51 51 + -20y + 9y = 0 Combine like terms: -20y + 9y = -11y 51 + -11y = 0 Solving 51 + -11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -11y = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -11y = 0 + -51 -11y = 0 + -51 Combine like terms: 0 + -51 = -51 -11y = -51 Divide each side by '-11'. y = 4.636363636 Simplifying y = 4.636363636
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