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Simplifying -3(5y + -8) + 2(2y + 5) = 0 Reorder the terms: -3(-8 + 5y) + 2(2y + 5) = 0 (-8 * -3 + 5y * -3) + 2(2y + 5) = 0 (24 + -15y) + 2(2y + 5) = 0 Reorder the terms: 24 + -15y + 2(5 + 2y) = 0 24 + -15y + (5 * 2 + 2y * 2) = 0 24 + -15y + (10 + 4y) = 0 Reorder the terms: 24 + 10 + -15y + 4y = 0 Combine like terms: 24 + 10 = 34 34 + -15y + 4y = 0 Combine like terms: -15y + 4y = -11y 34 + -11y = 0 Solving 34 + -11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -11y = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -11y = 0 + -34 -11y = 0 + -34 Combine like terms: 0 + -34 = -34 -11y = -34 Divide each side by '-11'. y = 3.090909091 Simplifying y = 3.090909091
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