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Simplifying 3(5y + 9) + -4(y + 5) = 0 Reorder the terms: 3(9 + 5y) + -4(y + 5) = 0 (9 * 3 + 5y * 3) + -4(y + 5) = 0 (27 + 15y) + -4(y + 5) = 0 Reorder the terms: 27 + 15y + -4(5 + y) = 0 27 + 15y + (5 * -4 + y * -4) = 0 27 + 15y + (-20 + -4y) = 0 Reorder the terms: 27 + -20 + 15y + -4y = 0 Combine like terms: 27 + -20 = 7 7 + 15y + -4y = 0 Combine like terms: 15y + -4y = 11y 7 + 11y = 0 Solving 7 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 11y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 11y = 0 + -7 11y = 0 + -7 Combine like terms: 0 + -7 = -7 11y = -7 Divide each side by '11'. y = -0.6363636364 Simplifying y = -0.6363636364
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