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Simplifying -5(3y + -7) + 2(2y + 9) = 0 Reorder the terms: -5(-7 + 3y) + 2(2y + 9) = 0 (-7 * -5 + 3y * -5) + 2(2y + 9) = 0 (35 + -15y) + 2(2y + 9) = 0 Reorder the terms: 35 + -15y + 2(9 + 2y) = 0 35 + -15y + (9 * 2 + 2y * 2) = 0 35 + -15y + (18 + 4y) = 0 Reorder the terms: 35 + 18 + -15y + 4y = 0 Combine like terms: 35 + 18 = 53 53 + -15y + 4y = 0 Combine like terms: -15y + 4y = -11y 53 + -11y = 0 Solving 53 + -11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + -11y = 0 + -53 Combine like terms: 53 + -53 = 0 0 + -11y = 0 + -53 -11y = 0 + -53 Combine like terms: 0 + -53 = -53 -11y = -53 Divide each side by '-11'. y = 4.818181818 Simplifying y = 4.818181818
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