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Simplifying -5(3y + -7) + 2(2y + 8) = 0 Reorder the terms: -5(-7 + 3y) + 2(2y + 8) = 0 (-7 * -5 + 3y * -5) + 2(2y + 8) = 0 (35 + -15y) + 2(2y + 8) = 0 Reorder the terms: 35 + -15y + 2(8 + 2y) = 0 35 + -15y + (8 * 2 + 2y * 2) = 0 35 + -15y + (16 + 4y) = 0 Reorder the terms: 35 + 16 + -15y + 4y = 0 Combine like terms: 35 + 16 = 51 51 + -15y + 4y = 0 Combine like terms: -15y + 4y = -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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