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Simplifying -5(3y + -7) + 2(2y + 5) = 0 Reorder the terms: -5(-7 + 3y) + 2(2y + 5) = 0 (-7 * -5 + 3y * -5) + 2(2y + 5) = 0 (35 + -15y) + 2(2y + 5) = 0 Reorder the terms: 35 + -15y + 2(5 + 2y) = 0 35 + -15y + (5 * 2 + 2y * 2) = 0 35 + -15y + (10 + 4y) = 0 Reorder the terms: 35 + 10 + -15y + 4y = 0 Combine like terms: 35 + 10 = 45 45 + -15y + 4y = 0 Combine like terms: -15y + 4y = -11y 45 + -11y = 0 Solving 45 + -11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -11y = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -11y = 0 + -45 -11y = 0 + -45 Combine like terms: 0 + -45 = -45 -11y = -45 Divide each side by '-11'. y = 4.090909091 Simplifying y = 4.090909091
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