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Simplifying 6(y + 9) + -5(2y + -5) = 0 Reorder the terms: 6(9 + y) + -5(2y + -5) = 0 (9 * 6 + y * 6) + -5(2y + -5) = 0 (54 + 6y) + -5(2y + -5) = 0 Reorder the terms: 54 + 6y + -5(-5 + 2y) = 0 54 + 6y + (-5 * -5 + 2y * -5) = 0 54 + 6y + (25 + -10y) = 0 Reorder the terms: 54 + 25 + 6y + -10y = 0 Combine like terms: 54 + 25 = 79 79 + 6y + -10y = 0 Combine like terms: 6y + -10y = -4y 79 + -4y = 0 Solving 79 + -4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-79' to each side of the equation. 79 + -79 + -4y = 0 + -79 Combine like terms: 79 + -79 = 0 0 + -4y = 0 + -79 -4y = 0 + -79 Combine like terms: 0 + -79 = -79 -4y = -79 Divide each side by '-4'. y = 19.75 Simplifying y = 19.75
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