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Simplifying -4(5y + -6) + 3(3y + 10) = 0 Reorder the terms: -4(-6 + 5y) + 3(3y + 10) = 0 (-6 * -4 + 5y * -4) + 3(3y + 10) = 0 (24 + -20y) + 3(3y + 10) = 0 Reorder the terms: 24 + -20y + 3(10 + 3y) = 0 24 + -20y + (10 * 3 + 3y * 3) = 0 24 + -20y + (30 + 9y) = 0 Reorder the terms: 24 + 30 + -20y + 9y = 0 Combine like terms: 24 + 30 = 54 54 + -20y + 9y = 0 Combine like terms: -20y + 9y = -11y 54 + -11y = 0 Solving 54 + -11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + -11y = 0 + -54 Combine like terms: 54 + -54 = 0 0 + -11y = 0 + -54 -11y = 0 + -54 Combine like terms: 0 + -54 = -54 -11y = -54 Divide each side by '-11'. y = 4.909090909 Simplifying y = 4.909090909
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